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Finding the Fourth Proportional to 415,932.99, 573,987.91 and 224,946.38

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Solution

The fourth proportional to 415,932.99, 573,987.91 and 224,946.38 is: 310,426.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,932.99 : 573,987.91 = 224,946.38 : x
  2. Step 2: Convert to fraction form
    415,932.99/573,987.91 = 224,946.38/x
  3. Step 3: Cross multiply
    415,932.99x = 573,987.91 × 224,946.38
  4. Step 4: Simplify right side
    415,932.99x = 129,116,503,812.64
  5. Step 5: Solve for x
    x = 129,116,503,812.64/415,932.99
  6. Step 6: Final answer
    x = 310,426.21

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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.