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Finding the Fourth Proportional to 598,616.46, 897,902.82 and 177,881.40

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Solution

The fourth proportional to 598,616.46, 897,902.82 and 177,881.40 is: 266,815.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,616.46 : 897,902.82 = 177,881.40 : x
  2. Step 2: Convert to fraction form
    598,616.46/897,902.82 = 177,881.40/x
  3. Step 3: Cross multiply
    598,616.46x = 897,902.82 × 177,881.40
  4. Step 4: Simplify right side
    598,616.46x = 159,720,210,685.55
  5. Step 5: Solve for x
    x = 159,720,210,685.55/598,616.46
  6. Step 6: Final answer
    x = 266,815.60

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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.