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Finding the Fourth Proportional to 274,911.40, 412,367.10 and 185,681.80

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Solution

The fourth proportional to 274,911.40, 412,367.10 and 185,681.80 is: 278,522.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,911.40 : 412,367.10 = 185,681.80 : x
  2. Step 2: Convert to fraction form
    274,911.40/412,367.10 = 185,681.80/x
  3. Step 3: Cross multiply
    274,911.40x = 412,367.10 × 185,681.80
  4. Step 4: Simplify right side
    274,911.40x = 76,569,065,388.78
  5. Step 5: Solve for x
    x = 76,569,065,388.78/274,911.40
  6. Step 6: Final answer
    x = 278,522.70

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1.5x scale

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.