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Finding the Fourth Proportional to 467,951.52, 645,771.20 and 253,091.84

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Solution

The fourth proportional to 467,951.52, 645,771.20 and 253,091.84 is: 349,265.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,951.52 : 645,771.20 = 253,091.84 : x
  2. Step 2: Convert to fraction form
    467,951.52/645,771.20 = 253,091.84/x
  3. Step 3: Cross multiply
    467,951.52x = 645,771.20 × 253,091.84
  4. Step 4: Simplify right side
    467,951.52x = 163,439,421,227.01
  5. Step 5: Solve for x
    x = 163,439,421,227.01/467,951.52
  6. Step 6: Final answer
    x = 349,265.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.