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Finding the Fourth Proportional to 406,001.76, 560,283.52 and 224,726.16

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Solution

The fourth proportional to 406,001.76, 560,283.52 and 224,726.16 is: 310,122.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,001.76 : 560,283.52 = 224,726.16 : x
  2. Step 2: Convert to fraction form
    406,001.76/560,283.52 = 224,726.16/x
  3. Step 3: Cross multiply
    406,001.76x = 560,283.52 × 224,726.16
  4. Step 4: Simplify right side
    406,001.76x = 125,910,363,960.88
  5. Step 5: Solve for x
    x = 125,910,363,960.88/406,001.76
  6. Step 6: Final answer
    x = 310,122.70

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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.