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Finding the Fourth Proportional to 415,946.73, 574,006.47 and 224,960.14

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Solution

The fourth proportional to 415,946.73, 574,006.47 and 224,960.14 is: 310,444.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,946.73 : 574,006.47 = 224,960.14 : x
  2. Step 2: Convert to fraction form
    415,946.73/574,006.47 = 224,960.14/x
  3. Step 3: Cross multiply
    415,946.73x = 574,006.47 × 224,960.14
  4. Step 4: Simplify right side
    415,946.73x = 129,128,572,982.07
  5. Step 5: Solve for x
    x = 129,128,572,982.07/415,946.73
  6. Step 6: Final answer
    x = 310,444.98

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1.5x scale

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.