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Finding the Fourth Proportional to 415,946.82, 574,006.95 and 224,959.98

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Solution

The fourth proportional to 415,946.82, 574,006.95 and 224,959.98 is: 310,444.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,946.82 : 574,006.95 = 224,959.98 : x
  2. Step 2: Convert to fraction form
    415,946.82/574,006.95 = 224,959.98/x
  3. Step 3: Cross multiply
    415,946.82x = 574,006.95 × 224,959.98
  4. Step 4: Simplify right side
    415,946.82x = 129,128,591,991.86
  5. Step 5: Solve for x
    x = 129,128,591,991.86/415,946.82
  6. Step 6: Final answer
    x = 310,444.96

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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.