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Finding the Fourth Proportional to 432,335.80, 649,232.70 and 361,185.40

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Solution

The fourth proportional to 432,335.80, 649,232.70 and 361,185.40 is: 542,387.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,335.80 : 649,232.70 = 361,185.40 : x
  2. Step 2: Convert to fraction form
    432,335.80/649,232.70 = 361,185.40/x
  3. Step 3: Cross multiply
    432,335.80x = 649,232.70 × 361,185.40
  4. Step 4: Simplify right side
    432,335.80x = 234,493,372,442.58
  5. Step 5: Solve for x
    x = 234,493,372,442.58/432,335.80
  6. Step 6: Final answer
    x = 542,387.13

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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.