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Finding the Fourth Proportional to 431,570.70, 647,404.65 and 132,048.90

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Solution

The fourth proportional to 431,570.70, 647,404.65 and 132,048.90 is: 198,088.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,570.70 : 647,404.65 = 132,048.90 : x
  2. Step 2: Convert to fraction form
    431,570.70/647,404.65 = 132,048.90/x
  3. Step 3: Cross multiply
    431,570.70x = 647,404.65 × 132,048.90
  4. Step 4: Simplify right side
    431,570.70x = 85,489,071,887.39
  5. Step 5: Solve for x
    x = 85,489,071,887.39/431,570.70
  6. Step 6: Final answer
    x = 198,088.22

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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.