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Finding the Fourth Proportional to 431,960.41, 648,064.98 and 132,484.92

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Solution

The fourth proportional to 431,960.41, 648,064.98 and 132,484.92 is: 198,765.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,960.41 : 648,064.98 = 132,484.92 : x
  2. Step 2: Convert to fraction form
    431,960.41/648,064.98 = 132,484.92/x
  3. Step 3: Cross multiply
    431,960.41x = 648,064.98 × 132,484.92
  4. Step 4: Simplify right side
    431,960.41x = 85,858,837,030.10
  5. Step 5: Solve for x
    x = 85,858,837,030.10/431,960.41
  6. Step 6: Final answer
    x = 198,765.52

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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.