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Finding the Fourth Proportional to 406,397.80, 560,829.01 and 225,121.47

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Solution

The fourth proportional to 406,397.80, 560,829.01 and 225,121.47 is: 310,667.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,397.80 : 560,829.01 = 225,121.47 : x
  2. Step 2: Convert to fraction form
    406,397.80/560,829.01 = 225,121.47/x
  3. Step 3: Cross multiply
    406,397.80x = 560,829.01 × 225,121.47
  4. Step 4: Simplify right side
    406,397.80x = 126,254,650,587.04
  5. Step 5: Solve for x
    x = 126,254,650,587.04/406,397.80
  6. Step 6: Final answer
    x = 310,667.65

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.