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Finding the Fourth Proportional to 552,107.20, 827,642.40 and 432,097.60

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Solution

The fourth proportional to 552,107.20, 827,642.40 and 432,097.60 is: 647,740.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    552,107.20 : 827,642.40 = 432,097.60 : x
  2. Step 2: Convert to fraction form
    552,107.20/827,642.40 = 432,097.60/x
  3. Step 3: Cross multiply
    552,107.20x = 827,642.40 × 432,097.60
  4. Step 4: Simplify right side
    552,107.20x = 357,622,294,698.24
  5. Step 5: Solve for x
    x = 357,622,294,698.24/552,107.20
  6. Step 6: Final answer
    x = 647,740.68

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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.