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Finding the Fourth Proportional to 359,851.29, 496,591.56 and 198,702.87

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Solution

The fourth proportional to 359,851.29, 496,591.56 and 198,702.87 is: 274,208.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,851.29 : 496,591.56 = 198,702.87 : x
  2. Step 2: Convert to fraction form
    359,851.29/496,591.56 = 198,702.87/x
  3. Step 3: Cross multiply
    359,851.29x = 496,591.56 × 198,702.87
  4. Step 4: Simplify right side
    359,851.29x = 98,674,168,189.78
  5. Step 5: Solve for x
    x = 98,674,168,189.78/359,851.29
  6. Step 6: Final answer
    x = 274,208.18

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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.