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Finding the Fourth Proportional to 665,621.70, 998,432.55 and 413,679.30

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Solution

The fourth proportional to 665,621.70, 998,432.55 and 413,679.30 is: 620,518.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,621.70 : 998,432.55 = 413,679.30 : x
  2. Step 2: Convert to fraction form
    665,621.70/998,432.55 = 413,679.30/x
  3. Step 3: Cross multiply
    665,621.70x = 998,432.55 × 413,679.30
  4. Step 4: Simplify right side
    665,621.70x = 413,030,878,381.22
  5. Step 5: Solve for x
    x = 413,030,878,381.22/665,621.70
  6. Step 6: Final answer
    x = 620,518.95

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.