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Finding the Fourth Proportional to 406,001.68, 560,283.42 and 224,726.11

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Solution

The fourth proportional to 406,001.68, 560,283.42 and 224,726.11 is: 310,122.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,001.68 : 560,283.42 = 224,726.11 : x
  2. Step 2: Convert to fraction form
    406,001.68/560,283.42 = 224,726.11/x
  3. Step 3: Cross multiply
    406,001.68x = 560,283.42 × 224,726.11
  4. Step 4: Simplify right side
    406,001.68x = 125,910,312,916.11
  5. Step 5: Solve for x
    x = 125,910,312,916.11/406,001.68
  6. Step 6: Final answer
    x = 310,122.64

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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.