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Finding the Fourth Proportional to 277,200.30, 415,800.45 and 66,838.24

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Solution

The fourth proportional to 277,200.30, 415,800.45 and 66,838.24 is: 100,257.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,200.30 : 415,800.45 = 66,838.24 : x
  2. Step 2: Convert to fraction form
    277,200.30/415,800.45 = 66,838.24/x
  3. Step 3: Cross multiply
    277,200.30x = 415,800.45 × 66,838.24
  4. Step 4: Simplify right side
    277,200.30x = 27,791,369,229.71
  5. Step 5: Solve for x
    x = 27,791,369,229.71/277,200.30
  6. Step 6: Final answer
    x = 100,257.36

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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.