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Finding the Fourth Proportional to 482,909.40, 724,364.10 and 127,978.20

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Solution

The fourth proportional to 482,909.40, 724,364.10 and 127,978.20 is: 191,967.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    482,909.40 : 724,364.10 = 127,978.20 : x
  2. Step 2: Convert to fraction form
    482,909.40/724,364.10 = 127,978.20/x
  3. Step 3: Cross multiply
    482,909.40x = 724,364.10 × 127,978.20
  4. Step 4: Simplify right side
    482,909.40x = 92,702,813,662.62
  5. Step 5: Solve for x
    x = 92,702,813,662.62/482,909.40
  6. Step 6: Final answer
    x = 191,967.30

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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.