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Finding the Fourth Proportional to 277,586.70, 416,574.45 and 177,989.10

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Solution

The fourth proportional to 277,586.70, 416,574.45 and 177,989.10 is: 267,108.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,586.70 : 416,574.45 = 177,989.10 : x
  2. Step 2: Convert to fraction form
    277,586.70/416,574.45 = 177,989.10/x
  3. Step 3: Cross multiply
    277,586.70x = 416,574.45 × 177,989.10
  4. Step 4: Simplify right side
    277,586.70x = 74,145,711,438.50
  5. Step 5: Solve for x
    x = 74,145,711,438.50/277,586.70
  6. Step 6: Final answer
    x = 267,108.30

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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.