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Finding the Fourth Proportional to 277,522.70, 416,478.45 and 177,925.10

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Solution

The fourth proportional to 277,522.70, 416,478.45 and 177,925.10 is: 267,012.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,522.70 : 416,478.45 = 177,925.10 : x
  2. Step 2: Convert to fraction form
    277,522.70/416,478.45 = 177,925.10/x
  3. Step 3: Cross multiply
    277,522.70x = 416,478.45 × 177,925.10
  4. Step 4: Simplify right side
    277,522.70x = 74,101,969,864.10
  5. Step 5: Solve for x
    x = 74,101,969,864.10/277,522.70
  6. Step 6: Final answer
    x = 267,012.28

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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.