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Finding the Fourth Proportional to 548,470.76, 822,690.78 and 174,516.20

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Solution

The fourth proportional to 548,470.76, 822,690.78 and 174,516.20 is: 261,769.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    548,470.76 : 822,690.78 = 174,516.20 : x
  2. Step 2: Convert to fraction form
    548,470.76/822,690.78 = 174,516.20/x
  3. Step 3: Cross multiply
    548,470.76x = 822,690.78 × 174,516.20
  4. Step 4: Simplify right side
    548,470.76x = 143,572,868,700.64
  5. Step 5: Solve for x
    x = 143,572,868,700.64/548,470.76
  6. Step 6: Final answer
    x = 261,769.41

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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.