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Finding the Fourth Proportional to 415,862.47, 573,890.23 and 224,875.86

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Solution

The fourth proportional to 415,862.47, 573,890.23 and 224,875.86 is: 310,328.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,862.47 : 573,890.23 = 224,875.86 : x
  2. Step 2: Convert to fraction form
    415,862.47/573,890.23 = 224,875.86/x
  3. Step 3: Cross multiply
    415,862.47x = 573,890.23 × 224,875.86
  4. Step 4: Simplify right side
    415,862.47x = 129,054,059,016.85
  5. Step 5: Solve for x
    x = 129,054,059,016.85/415,862.47
  6. Step 6: Final answer
    x = 310,328.70

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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.