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Finding the Fourth Proportional to 415,946.96, 574,006.80 and 224,960.35

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Solution

The fourth proportional to 415,946.96, 574,006.80 and 224,960.35 is: 310,445.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,946.96 : 574,006.80 = 224,960.35 : x
  2. Step 2: Convert to fraction form
    415,946.96/574,006.80 = 224,960.35/x
  3. Step 3: Cross multiply
    415,946.96x = 574,006.80 × 224,960.35
  4. Step 4: Simplify right side
    415,946.96x = 129,128,770,630.38
  5. Step 5: Solve for x
    x = 129,128,770,630.38/415,946.96
  6. Step 6: Final answer
    x = 310,445.28

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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.