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Finding the Fourth Proportional to 406,186.47, 560,498.41 and 224,891.76

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Solution

The fourth proportional to 406,186.47, 560,498.41 and 224,891.76 is: 310,329.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,186.47 : 560,498.41 = 224,891.76 : x
  2. Step 2: Convert to fraction form
    406,186.47/560,498.41 = 224,891.76/x
  3. Step 3: Cross multiply
    406,186.47x = 560,498.41 × 224,891.76
  4. Step 4: Simplify right side
    406,186.47x = 126,051,473,902.10
  5. Step 5: Solve for x
    x = 126,051,473,902.10/406,186.47
  6. Step 6: Final answer
    x = 310,329.08

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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.