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Finding the Fourth Proportional to 406,186.47, 560,554.83 and 224,898.39

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Solution

The fourth proportional to 406,186.47, 560,554.83 and 224,898.39 is: 310,369.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,186.47 : 560,554.83 = 224,898.39 : x
  2. Step 2: Convert to fraction form
    406,186.47/560,554.83 = 224,898.39/x
  3. Step 3: Cross multiply
    406,186.47x = 560,554.83 × 224,898.39
  4. Step 4: Simplify right side
    406,186.47x = 126,067,878,773.72
  5. Step 5: Solve for x
    x = 126,067,878,773.72/406,186.47
  6. Step 6: Final answer
    x = 310,369.47

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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.