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Finding the Fourth Proportional to 438,909.80, 658,364.70 and 158,436.20

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Solution

The fourth proportional to 438,909.80, 658,364.70 and 158,436.20 is: 237,654.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,909.80 : 658,364.70 = 158,436.20 : x
  2. Step 2: Convert to fraction form
    438,909.80/658,364.70 = 158,436.20/x
  3. Step 3: Cross multiply
    438,909.80x = 658,364.70 × 158,436.20
  4. Step 4: Simplify right side
    438,909.80x = 104,308,801,282.14
  5. Step 5: Solve for x
    x = 104,308,801,282.14/438,909.80
  6. Step 6: Final answer
    x = 237,654.30

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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.