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Finding the Fourth Proportional to 432,830.60, 649,315.65 and 133,311.08

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Solution

The fourth proportional to 432,830.60, 649,315.65 and 133,311.08 is: 199,988.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,830.60 : 649,315.65 = 133,311.08 : x
  2. Step 2: Convert to fraction form
    432,830.60/649,315.65 = 133,311.08/x
  3. Step 3: Cross multiply
    432,830.60x = 649,315.65 × 133,311.08
  4. Step 4: Simplify right side
    432,830.60x = 86,560,970,562.40
  5. Step 5: Solve for x
    x = 86,560,970,562.40/432,830.60
  6. Step 6: Final answer
    x = 199,988.10

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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.