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Finding the Fourth Proportional to 360,962, 541,443 and 98,306

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Solution

The fourth proportional to 360,962, 541,443 and 98,306 is: 147,459

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,962 : 541,443 = 98,306 : x
  2. Step 2: Convert to fraction form
    360,962/541,443 = 98,306/x
  3. Step 3: Cross multiply
    360,962x = 541,443 × 98,306
  4. Step 4: Simplify right side
    360,962x = 53,227,095,558
  5. Step 5: Solve for x
    x = 53,227,095,558/360,962
  6. Step 6: Final answer
    x = 147,459

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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.