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Finding the Fourth Proportional to 415,787.32, 573,785.24 and 224,800.71

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Solution

The fourth proportional to 415,787.32, 573,785.24 and 224,800.71 is: 310,224.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,787.32 : 573,785.24 = 224,800.71 : x
  2. Step 2: Convert to fraction form
    415,787.32/573,785.24 = 224,800.71/x
  3. Step 3: Cross multiply
    415,787.32x = 573,785.24 × 224,800.71
  4. Step 4: Simplify right side
    415,787.32x = 128,987,329,339.52
  5. Step 5: Solve for x
    x = 128,987,329,339.52/415,787.32
  6. Step 6: Final answer
    x = 310,224.30

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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.