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Finding the Fourth Proportional to 598,616.09, 897,902.25 and 177,881.03

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Solution

The fourth proportional to 598,616.09, 897,902.25 and 177,881.03 is: 266,815.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,616.09 : 897,902.25 = 177,881.03 : x
  2. Step 2: Convert to fraction form
    598,616.09/897,902.25 = 177,881.03/x
  3. Step 3: Cross multiply
    598,616.09x = 897,902.25 × 177,881.03
  4. Step 4: Simplify right side
    598,616.09x = 159,719,772,579.81
  5. Step 5: Solve for x
    x = 159,719,772,579.81/598,616.09
  6. Step 6: Final answer
    x = 266,815.04

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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.