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Finding the Fourth Proportional to 423,499.71, 584,439.87 and 229,915.38

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Solution

The fourth proportional to 423,499.71, 584,439.87 and 229,915.38 is: 317,288.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,499.71 : 584,439.87 = 229,915.38 : x
  2. Step 2: Convert to fraction form
    423,499.71/584,439.87 = 229,915.38/x
  3. Step 3: Cross multiply
    423,499.71x = 584,439.87 × 229,915.38
  4. Step 4: Simplify right side
    423,499.71x = 134,371,714,798.20
  5. Step 5: Solve for x
    x = 134,371,714,798.20/423,499.71
  6. Step 6: Final answer
    x = 317,288.80

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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.