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Finding the Fourth Proportional to 415,227.92, 569,277.46 and 407,661.20

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Solution

The fourth proportional to 415,227.92, 569,277.46 and 407,661.20 is: 558,903.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,227.92 : 569,277.46 = 407,661.20 : x
  2. Step 2: Convert to fraction form
    415,227.92/569,277.46 = 407,661.20/x
  3. Step 3: Cross multiply
    415,227.92x = 569,277.46 × 407,661.20
  4. Step 4: Simplify right side
    415,227.92x = 232,072,332,476.55
  5. Step 5: Solve for x
    x = 232,072,332,476.55/415,227.92
  6. Step 6: Final answer
    x = 558,903.49

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.