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Finding the Fourth Proportional to 277,576.38, 416,365.65 and 67,214.52

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Solution

The fourth proportional to 277,576.38, 416,365.65 and 67,214.52 is: 100,822.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,576.38 : 416,365.65 = 67,214.52 : x
  2. Step 2: Convert to fraction form
    277,576.38/416,365.65 = 67,214.52/x
  3. Step 3: Cross multiply
    277,576.38x = 416,365.65 × 67,214.52
  4. Step 4: Simplify right side
    277,576.38x = 27,985,817,309.24
  5. Step 5: Solve for x
    x = 27,985,817,309.24/277,576.38
  6. Step 6: Final answer
    x = 100,822.04

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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.