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Finding the Fourth Proportional to 633,180.57, 949,690.65 and 177,813.15

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Solution

The fourth proportional to 633,180.57, 949,690.65 and 177,813.15 is: 266,697.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    633,180.57 : 949,690.65 = 177,813.15 : x
  2. Step 2: Convert to fraction form
    633,180.57/949,690.65 = 177,813.15/x
  3. Step 3: Cross multiply
    633,180.57x = 949,690.65 × 177,813.15
  4. Step 4: Simplify right side
    633,180.57x = 168,867,486,002.05
  5. Step 5: Solve for x
    x = 168,867,486,002.05/633,180.57
  6. Step 6: Final answer
    x = 266,697.20

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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.