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Finding the Fourth Proportional to 415,718.33, 573,692.13 and 224,731.71

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Solution

The fourth proportional to 415,718.33, 573,692.13 and 224,731.71 is: 310,130.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,718.33 : 573,692.13 = 224,731.71 : x
  2. Step 2: Convert to fraction form
    415,718.33/573,692.13 = 224,731.71/x
  3. Step 3: Cross multiply
    415,718.33x = 573,692.13 × 224,731.71
  4. Step 4: Simplify right side
    415,718.33x = 128,926,813,388.44
  5. Step 5: Solve for x
    x = 128,926,813,388.44/415,718.33
  6. Step 6: Final answer
    x = 310,130.21

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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.