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Finding the Fourth Proportional to 322,087.68, 482,974.74 and 97,404.84

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Solution

The fourth proportional to 322,087.68, 482,974.74 and 97,404.84 is: 146,059.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,087.68 : 482,974.74 = 97,404.84 : x
  2. Step 2: Convert to fraction form
    322,087.68/482,974.74 = 97,404.84/x
  3. Step 3: Cross multiply
    322,087.68x = 482,974.74 × 97,404.84
  4. Step 4: Simplify right side
    322,087.68x = 47,044,077,273.74
  5. Step 5: Solve for x
    x = 47,044,077,273.74/322,087.68
  6. Step 6: Final answer
    x = 146,059.85

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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.