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Finding the Fourth Proportional to 462,823.80, 694,235.70 and 386,716.20

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Solution

The fourth proportional to 462,823.80, 694,235.70 and 386,716.20 is: 580,074.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,823.80 : 694,235.70 = 386,716.20 : x
  2. Step 2: Convert to fraction form
    462,823.80/694,235.70 = 386,716.20/x
  3. Step 3: Cross multiply
    462,823.80x = 694,235.70 × 386,716.20
  4. Step 4: Simplify right side
    462,823.80x = 268,472,191,808.34
  5. Step 5: Solve for x
    x = 268,472,191,808.34/462,823.80
  6. Step 6: Final answer
    x = 580,074.30

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Similar ratio
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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.