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Finding the Fourth Proportional to 462,766.90, 694,014.18 and 209,901.10

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Solution

The fourth proportional to 462,766.90, 694,014.18 and 209,901.10 is: 314,789.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,766.90 : 694,014.18 = 209,901.10 : x
  2. Step 2: Convert to fraction form
    462,766.90/694,014.18 = 209,901.10/x
  3. Step 3: Cross multiply
    462,766.90x = 694,014.18 × 209,901.10
  4. Step 4: Simplify right side
    462,766.90x = 145,674,339,797.60
  5. Step 5: Solve for x
    x = 145,674,339,797.60/462,766.90
  6. Step 6: Final answer
    x = 314,789.89

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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.