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Finding the Fourth Proportional to 359,833.46, 496,572.28 and 198,685.46

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Solution

The fourth proportional to 359,833.46, 496,572.28 and 198,685.46 is: 274,187.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,833.46 : 496,572.28 = 198,685.46 : x
  2. Step 2: Convert to fraction form
    359,833.46/496,572.28 = 198,685.46/x
  3. Step 3: Cross multiply
    359,833.46x = 496,572.28 × 198,685.46
  4. Step 4: Simplify right side
    359,833.46x = 98,661,691,875.05
  5. Step 5: Solve for x
    x = 98,661,691,875.05/359,833.46
  6. Step 6: Final answer
    x = 274,187.10

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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.