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Finding the Fourth Proportional to 680,081.30, 1,019,247.15 and 413,558.90

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Solution

The fourth proportional to 680,081.30, 1,019,247.15 and 413,558.90 is: 619,806.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    680,081.30 : 1,019,247.15 = 413,558.90 : x
  2. Step 2: Convert to fraction form
    680,081.30/1,019,247.15 = 413,558.90/x
  3. Step 3: Cross multiply
    680,081.30x = 1,019,247.15 × 413,558.90
  4. Step 4: Simplify right side
    680,081.30x = 421,518,730,182.14
  5. Step 5: Solve for x
    x = 421,518,730,182.14/680,081.30
  6. Step 6: Final answer
    x = 619,806.38

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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.