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Finding the Fourth Proportional to 297,998.52, 447,024.78 and 98,319.48

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Solution

The fourth proportional to 297,998.52, 447,024.78 and 98,319.48 is: 147,488.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,998.52 : 447,024.78 = 98,319.48 : x
  2. Step 2: Convert to fraction form
    297,998.52/447,024.78 = 98,319.48/x
  3. Step 3: Cross multiply
    297,998.52x = 447,024.78 × 98,319.48
  4. Step 4: Simplify right side
    297,998.52x = 43,951,243,916.71
  5. Step 5: Solve for x
    x = 43,951,243,916.71/297,998.52
  6. Step 6: Final answer
    x = 147,488.13

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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.