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Finding the Fourth Proportional to 720,748.20, 994,394.80 and 462,769.68

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Solution

The fourth proportional to 720,748.20, 994,394.80 and 462,769.68 is: 638,469.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    720,748.20 : 994,394.80 = 462,769.68 : x
  2. Step 2: Convert to fraction form
    720,748.20/994,394.80 = 462,769.68/x
  3. Step 3: Cross multiply
    720,748.20x = 994,394.80 × 462,769.68
  4. Step 4: Simplify right side
    720,748.20x = 460,175,763,389.66
  5. Step 5: Solve for x
    x = 460,175,763,389.66/720,748.20
  6. Step 6: Final answer
    x = 638,469.53

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.