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Finding the Fourth Proportional to 298,033.50, 447,051.33 and 283,084.14

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Solution

The fourth proportional to 298,033.50, 447,051.33 and 283,084.14 is: 424,627.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,033.50 : 447,051.33 = 283,084.14 : x
  2. Step 2: Convert to fraction form
    298,033.50/447,051.33 = 283,084.14/x
  3. Step 3: Cross multiply
    298,033.50x = 447,051.33 × 283,084.14
  4. Step 4: Simplify right side
    298,033.50x = 126,553,141,288.91
  5. Step 5: Solve for x
    x = 126,553,141,288.91/298,033.50
  6. Step 6: Final answer
    x = 424,627.24

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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.