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Finding the Fourth Proportional to 319,874.94, 479,812.98 and 83,217.24

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Solution

The fourth proportional to 319,874.94, 479,812.98 and 83,217.24 is: 124,826.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,874.94 : 479,812.98 = 83,217.24 : x
  2. Step 2: Convert to fraction form
    319,874.94/479,812.98 = 83,217.24/x
  3. Step 3: Cross multiply
    319,874.94x = 479,812.98 × 83,217.24
  4. Step 4: Simplify right side
    319,874.94x = 39,928,711,911.78
  5. Step 5: Solve for x
    x = 39,928,711,911.78/319,874.94
  6. Step 6: Final answer
    x = 124,826.01

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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.