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Finding the Fourth Proportional to 462,647.20, 694,532.40 and 294,167.20

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Solution

The fourth proportional to 462,647.20, 694,532.40 and 294,167.20 is: 441,607.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,647.20 : 694,532.40 = 294,167.20 : x
  2. Step 2: Convert to fraction form
    462,647.20/694,532.40 = 294,167.20/x
  3. Step 3: Cross multiply
    462,647.20x = 694,532.40 × 294,167.20
  4. Step 4: Simplify right side
    462,647.20x = 204,308,651,417.28
  5. Step 5: Solve for x
    x = 204,308,651,417.28/462,647.20
  6. Step 6: Final answer
    x = 441,607.88

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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.