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Finding the Fourth Proportional to 302,683.71, 417,703.50 and 175,433.13

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Solution

The fourth proportional to 302,683.71, 417,703.50 and 175,433.13 is: 242,097.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,683.71 : 417,703.50 = 175,433.13 : x
  2. Step 2: Convert to fraction form
    302,683.71/417,703.50 = 175,433.13/x
  3. Step 3: Cross multiply
    302,683.71x = 417,703.50 × 175,433.13
  4. Step 4: Simplify right side
    302,683.71x = 73,279,032,416.96
  5. Step 5: Solve for x
    x = 73,279,032,416.96/302,683.71
  6. Step 6: Final answer
    x = 242,097.71

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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.