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Finding the Fourth Proportional to 468,023.20, 699,986.80 and 418,461.60

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Solution

The fourth proportional to 468,023.20, 699,986.80 and 418,461.60 is: 625,861.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,023.20 : 699,986.80 = 418,461.60 : x
  2. Step 2: Convert to fraction form
    468,023.20/699,986.80 = 418,461.60/x
  3. Step 3: Cross multiply
    468,023.20x = 699,986.80 × 418,461.60
  4. Step 4: Simplify right side
    468,023.20x = 292,917,596,306.88
  5. Step 5: Solve for x
    x = 292,917,596,306.88/468,023.20
  6. Step 6: Final answer
    x = 625,861.27

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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.