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Finding the Fourth Proportional to 552,108.20, 827,643.90 and 432,098.60

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Solution

The fourth proportional to 552,108.20, 827,643.90 and 432,098.60 is: 647,742.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    552,108.20 : 827,643.90 = 432,098.60 : x
  2. Step 2: Convert to fraction form
    552,108.20/827,643.90 = 432,098.60/x
  3. Step 3: Cross multiply
    552,108.20x = 827,643.90 × 432,098.60
  4. Step 4: Simplify right side
    552,108.20x = 357,623,770,488.54
  5. Step 5: Solve for x
    x = 357,623,770,488.54/552,108.20
  6. Step 6: Final answer
    x = 647,742.18

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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.