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Finding the Fourth Proportional to 406,116.14, 560,498.92 and 234,001.15

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Solution

The fourth proportional to 406,116.14, 560,498.92 and 234,001.15 is: 322,955.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,116.14 : 560,498.92 = 234,001.15 : x
  2. Step 2: Convert to fraction form
    406,116.14/560,498.92 = 234,001.15/x
  3. Step 3: Cross multiply
    406,116.14x = 560,498.92 × 234,001.15
  4. Step 4: Simplify right side
    406,116.14x = 131,157,389,867.51
  5. Step 5: Solve for x
    x = 131,157,389,867.51/406,116.14
  6. Step 6: Final answer
    x = 322,955.38

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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.