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Finding the Fourth Proportional to 302,463.40, 417,374.76 and 175,147.24

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Solution

The fourth proportional to 302,463.40, 417,374.76 and 175,147.24 is: 241,688.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,463.40 : 417,374.76 = 175,147.24 : x
  2. Step 2: Convert to fraction form
    302,463.40/417,374.76 = 175,147.24/x
  3. Step 3: Cross multiply
    302,463.40x = 417,374.76 × 175,147.24
  4. Step 4: Simplify right side
    302,463.40x = 73,102,037,259.66
  5. Step 5: Solve for x
    x = 73,102,037,259.66/302,463.40
  6. Step 6: Final answer
    x = 241,688.87

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.