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Finding the Fourth Proportional to 462,821.80, 694,232.70 and 386,714.20

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Solution

The fourth proportional to 462,821.80, 694,232.70 and 386,714.20 is: 580,071.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,821.80 : 694,232.70 = 386,714.20 : x
  2. Step 2: Convert to fraction form
    462,821.80/694,232.70 = 386,714.20/x
  3. Step 3: Cross multiply
    462,821.80x = 694,232.70 × 386,714.20
  4. Step 4: Simplify right side
    462,821.80x = 268,469,643,194.34
  5. Step 5: Solve for x
    x = 268,469,643,194.34/462,821.80
  6. Step 6: Final answer
    x = 580,071.30

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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.