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Finding the Fourth Proportional to 277,770.76, 416,675.76 and 137,491.72

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Solution

The fourth proportional to 277,770.76, 416,675.76 and 137,491.72 is: 206,247.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,770.76 : 416,675.76 = 137,491.72 : x
  2. Step 2: Convert to fraction form
    277,770.76/416,675.76 = 137,491.72/x
  3. Step 3: Cross multiply
    277,770.76x = 416,675.76 × 137,491.72
  4. Step 4: Simplify right side
    277,770.76x = 57,289,466,924.71
  5. Step 5: Solve for x
    x = 57,289,466,924.71/277,770.76
  6. Step 6: Final answer
    x = 206,247.29

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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.