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Finding the Fourth Proportional to 598,663, 898,142.46 and 177,937.12

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Solution

The fourth proportional to 598,663, 898,142.46 and 177,937.12 is: 266,949.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,663 : 898,142.46 = 177,937.12 : x
  2. Step 2: Convert to fraction form
    598,663/898,142.46 = 177,937.12/x
  3. Step 3: Cross multiply
    598,663x = 898,142.46 × 177,937.12
  4. Step 4: Simplify right side
    598,663x = 159,812,882,682.12
  5. Step 5: Solve for x
    x = 159,812,882,682.12/598,663
  6. Step 6: Final answer
    x = 266,949.66

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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.