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Finding the Fourth Proportional to 359,772.96, 496,478.92 and 196,423.88

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Solution

The fourth proportional to 359,772.96, 496,478.92 and 196,423.88 is: 271,060.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,772.96 : 496,478.92 = 196,423.88 : x
  2. Step 2: Convert to fraction form
    359,772.96/496,478.92 = 196,423.88/x
  3. Step 3: Cross multiply
    359,772.96x = 496,478.92 × 196,423.88
  4. Step 4: Simplify right side
    359,772.96x = 97,520,315,804.61
  5. Step 5: Solve for x
    x = 97,520,315,804.61/359,772.96
  6. Step 6: Final answer
    x = 271,060.72

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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.