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Finding the Fourth Proportional to 460,593.70, 691,278.74 and 194,545.15

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Solution

The fourth proportional to 460,593.70, 691,278.74 and 194,545.15 is: 291,981.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,593.70 : 691,278.74 = 194,545.15 : x
  2. Step 2: Convert to fraction form
    460,593.70/691,278.74 = 194,545.15/x
  3. Step 3: Cross multiply
    460,593.70x = 691,278.74 × 194,545.15
  4. Step 4: Simplify right side
    460,593.70x = 134,484,924,193.73
  5. Step 5: Solve for x
    x = 134,484,924,193.73/460,593.70
  6. Step 6: Final answer
    x = 291,981.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.