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Finding the Fourth Proportional to 359,937.30, 496,703.83 and 198,780.92

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Solution

The fourth proportional to 359,937.30, 496,703.83 and 198,780.92 is: 274,312.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,937.30 : 496,703.83 = 198,780.92 : x
  2. Step 2: Convert to fraction form
    359,937.30/496,703.83 = 198,780.92/x
  3. Step 3: Cross multiply
    359,937.30x = 496,703.83 × 198,780.92
  4. Step 4: Simplify right side
    359,937.30x = 98,735,244,294.92
  5. Step 5: Solve for x
    x = 98,735,244,294.92/359,937.30
  6. Step 6: Final answer
    x = 274,312.34

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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.