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Finding the Fourth Proportional to 417,927.80, 576,801.29 and 234,178.80

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Solution

The fourth proportional to 417,927.80, 576,801.29 and 234,178.80 is: 323,200.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,927.80 : 576,801.29 = 234,178.80 : x
  2. Step 2: Convert to fraction form
    417,927.80/576,801.29 = 234,178.80/x
  3. Step 3: Cross multiply
    417,927.80x = 576,801.29 × 234,178.80
  4. Step 4: Simplify right side
    417,927.80x = 135,074,631,035.84
  5. Step 5: Solve for x
    x = 135,074,631,035.84/417,927.80
  6. Step 6: Final answer
    x = 323,200.87

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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.