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Finding the Fourth Proportional to 438,425.46, 657,657.30 and 138,928.14

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Solution

The fourth proportional to 438,425.46, 657,657.30 and 138,928.14 is: 208,398.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,425.46 : 657,657.30 = 138,928.14 : x
  2. Step 2: Convert to fraction form
    438,425.46/657,657.30 = 138,928.14/x
  3. Step 3: Cross multiply
    438,425.46x = 657,657.30 × 138,928.14
  4. Step 4: Simplify right side
    438,425.46x = 91,367,105,446.42
  5. Step 5: Solve for x
    x = 91,367,105,446.42/438,425.46
  6. Step 6: Final answer
    x = 208,398.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.