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Finding the Fourth Proportional to 359,894.70, 496,641.12 and 196,545.78

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Solution

The fourth proportional to 359,894.70, 496,641.12 and 196,545.78 is: 271,225.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,894.70 : 496,641.12 = 196,545.78 : x
  2. Step 2: Convert to fraction form
    359,894.70/496,641.12 = 196,545.78/x
  3. Step 3: Cross multiply
    359,894.70x = 496,641.12 × 196,545.78
  4. Step 4: Simplify right side
    359,894.70x = 97,612,716,310.47
  5. Step 5: Solve for x
    x = 97,612,716,310.47/359,894.70
  6. Step 6: Final answer
    x = 271,225.77

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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.