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Finding the Fourth Proportional to 649,286.65, 973,929.98 and 410,138.20

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Solution

The fourth proportional to 649,286.65, 973,929.98 and 410,138.20 is: 615,207.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,286.65 : 973,929.98 = 410,138.20 : x
  2. Step 2: Convert to fraction form
    649,286.65/973,929.98 = 410,138.20/x
  3. Step 3: Cross multiply
    649,286.65x = 973,929.98 × 410,138.20
  4. Step 4: Simplify right side
    649,286.65x = 399,445,886,872.55
  5. Step 5: Solve for x
    x = 399,445,886,872.55/649,286.65
  6. Step 6: Final answer
    x = 615,207.30

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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.