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Finding the Fourth Proportional to 406,333.05, 560,723.07 and 225,034.17

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Solution

The fourth proportional to 406,333.05, 560,723.07 and 225,034.17 is: 310,538.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,333.05 : 560,723.07 = 225,034.17 : x
  2. Step 2: Convert to fraction form
    406,333.05/560,723.07 = 225,034.17/x
  3. Step 3: Cross multiply
    406,333.05x = 560,723.07 × 225,034.17
  4. Step 4: Simplify right side
    406,333.05x = 126,181,850,657.30
  5. Step 5: Solve for x
    x = 126,181,850,657.30/406,333.05
  6. Step 6: Final answer
    x = 310,538.00

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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.