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Finding the Fourth Proportional to 598,155.94, 897,233.82 and 177,428.17

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Solution

The fourth proportional to 598,155.94, 897,233.82 and 177,428.17 is: 266,142.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,155.94 : 897,233.82 = 177,428.17 : x
  2. Step 2: Convert to fraction form
    598,155.94/897,233.82 = 177,428.17/x
  3. Step 3: Cross multiply
    598,155.94x = 897,233.82 × 177,428.17
  4. Step 4: Simplify right side
    598,155.94x = 159,194,554,744.71
  5. Step 5: Solve for x
    x = 159,194,554,744.71/598,155.94
  6. Step 6: Final answer
    x = 266,142.23

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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.