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Finding the Fourth Proportional to 406,694.20, 561,258.68 and 234,548.16

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Solution

The fourth proportional to 406,694.20, 561,258.68 and 234,548.16 is: 323,688.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,694.20 : 561,258.68 = 234,548.16 : x
  2. Step 2: Convert to fraction form
    406,694.20/561,258.68 = 234,548.16/x
  3. Step 3: Cross multiply
    406,694.20x = 561,258.68 × 234,548.16
  4. Step 4: Simplify right side
    406,694.20x = 131,642,190,678.03
  5. Step 5: Solve for x
    x = 131,642,190,678.03/406,694.20
  6. Step 6: Final answer
    x = 323,688.39

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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.