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Finding the Fourth Proportional to 599,046.24, 898,763.76 and 178,325.76

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Solution

The fourth proportional to 599,046.24, 898,763.76 and 178,325.76 is: 267,546.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    599,046.24 : 898,763.76 = 178,325.76 : x
  2. Step 2: Convert to fraction form
    599,046.24/898,763.76 = 178,325.76/x
  3. Step 3: Cross multiply
    599,046.24x = 898,763.76 × 178,325.76
  4. Step 4: Simplify right side
    599,046.24x = 160,272,730,562.46
  5. Step 5: Solve for x
    x = 160,272,730,562.46/599,046.24
  6. Step 6: Final answer
    x = 267,546.51

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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.