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Finding the Fourth Proportional to 432,575.70, 648,912.15 and 133,053.90

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Solution

The fourth proportional to 432,575.70, 648,912.15 and 133,053.90 is: 199,595.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,575.70 : 648,912.15 = 133,053.90 : x
  2. Step 2: Convert to fraction form
    432,575.70/648,912.15 = 133,053.90/x
  3. Step 3: Cross multiply
    432,575.70x = 648,912.15 × 133,053.90
  4. Step 4: Simplify right side
    432,575.70x = 86,340,292,314.89
  5. Step 5: Solve for x
    x = 86,340,292,314.89/432,575.70
  6. Step 6: Final answer
    x = 199,595.80

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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.