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Finding the Fourth Proportional to 359,807.28, 496,541.78 and 198,672.52

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Solution

The fourth proportional to 359,807.28, 496,541.78 and 198,672.52 is: 274,172.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,807.28 : 496,541.78 = 198,672.52 : x
  2. Step 2: Convert to fraction form
    359,807.28/496,541.78 = 198,672.52/x
  3. Step 3: Cross multiply
    359,807.28x = 496,541.78 × 198,672.52
  4. Step 4: Simplify right side
    359,807.28x = 98,649,206,717.89
  5. Step 5: Solve for x
    x = 98,649,206,717.89/359,807.28
  6. Step 6: Final answer
    x = 274,172.35

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.