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Finding the Fourth Proportional to 324,614.84, 486,500.34 and 132,264.74

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Solution

The fourth proportional to 324,614.84, 486,500.34 and 132,264.74 is: 198,225.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,614.84 : 486,500.34 = 132,264.74 : x
  2. Step 2: Convert to fraction form
    324,614.84/486,500.34 = 132,264.74/x
  3. Step 3: Cross multiply
    324,614.84x = 486,500.34 × 132,264.74
  4. Step 4: Simplify right side
    324,614.84x = 64,346,840,980.01
  5. Step 5: Solve for x
    x = 64,346,840,980.01/324,614.84
  6. Step 6: Final answer
    x = 198,225.20

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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.