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Finding the Fourth Proportional to 598,116.34, 897,223.11 and 177,391

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Solution

The fourth proportional to 598,116.34, 897,223.11 and 177,391 is: 266,100.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,116.34 : 897,223.11 = 177,391 : x
  2. Step 2: Convert to fraction form
    598,116.34/897,223.11 = 177,391/x
  3. Step 3: Cross multiply
    598,116.34x = 897,223.11 × 177,391
  4. Step 4: Simplify right side
    598,116.34x = 159,159,304,706.01
  5. Step 5: Solve for x
    x = 159,159,304,706.01/598,116.34
  6. Step 6: Final answer
    x = 266,100.91

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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.