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Finding the Fourth Proportional to 277,596.38, 416,397.98 and 97,687.17

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Solution

The fourth proportional to 277,596.38, 416,397.98 and 97,687.17 is: 146,531.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,596.38 : 416,397.98 = 97,687.17 : x
  2. Step 2: Convert to fraction form
    277,596.38/416,397.98 = 97,687.17/x
  3. Step 3: Cross multiply
    277,596.38x = 416,397.98 × 97,687.17
  4. Step 4: Simplify right side
    277,596.38x = 40,676,739,771.48
  5. Step 5: Solve for x
    x = 40,676,739,771.48/277,596.38
  6. Step 6: Final answer
    x = 146,531.96

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.