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Finding the Fourth Proportional to 332,294, 498,441 and 98,822

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Solution

The fourth proportional to 332,294, 498,441 and 98,822 is: 148,233

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,294 : 498,441 = 98,822 : x
  2. Step 2: Convert to fraction form
    332,294/498,441 = 98,822/x
  3. Step 3: Cross multiply
    332,294x = 498,441 × 98,822
  4. Step 4: Simplify right side
    332,294x = 49,256,936,502
  5. Step 5: Solve for x
    x = 49,256,936,502/332,294
  6. Step 6: Final answer
    x = 148,233

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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.