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Finding the Fourth Proportional to 284,398.84, 426,599.43 and 71,166.17

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Solution

The fourth proportional to 284,398.84, 426,599.43 and 71,166.17 is: 106,749.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,398.84 : 426,599.43 = 71,166.17 : x
  2. Step 2: Convert to fraction form
    284,398.84/426,599.43 = 71,166.17/x
  3. Step 3: Cross multiply
    284,398.84x = 426,599.43 × 71,166.17
  4. Step 4: Simplify right side
    284,398.84x = 30,359,448,356.91
  5. Step 5: Solve for x
    x = 30,359,448,356.91/284,398.84
  6. Step 6: Final answer
    x = 106,749.55

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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.