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Finding the Fourth Proportional to 359,534.52, 496,159.08 and 198,394.28

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Solution

The fourth proportional to 359,534.52, 496,159.08 and 198,394.28 is: 273,784.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,534.52 : 496,159.08 = 198,394.28 : x
  2. Step 2: Convert to fraction form
    359,534.52/496,159.08 = 198,394.28/x
  3. Step 3: Cross multiply
    359,534.52x = 496,159.08 × 198,394.28
  4. Step 4: Simplify right side
    359,534.52x = 98,435,123,442.06
  5. Step 5: Solve for x
    x = 98,435,123,442.06/359,534.52
  6. Step 6: Final answer
    x = 273,784.90

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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.