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Finding the Fourth Proportional to 406,489.46, 560,854.13 and 234,460.02

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Solution

The fourth proportional to 406,489.46, 560,854.13 and 234,460.02 is: 323,496.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,489.46 : 560,854.13 = 234,460.02 : x
  2. Step 2: Convert to fraction form
    406,489.46/560,854.13 = 234,460.02/x
  3. Step 3: Cross multiply
    406,489.46x = 560,854.13 × 234,460.02
  4. Step 4: Simplify right side
    406,489.46x = 131,497,870,536.88
  5. Step 5: Solve for x
    x = 131,497,870,536.88/406,489.46
  6. Step 6: Final answer
    x = 323,496.38

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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.