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Finding the Fourth Proportional to 323,230.98, 484,874.10 and 98,641.92

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Solution

The fourth proportional to 323,230.98, 484,874.10 and 98,641.92 is: 147,971.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,230.98 : 484,874.10 = 98,641.92 : x
  2. Step 2: Convert to fraction form
    323,230.98/484,874.10 = 98,641.92/x
  3. Step 3: Cross multiply
    323,230.98x = 484,874.10 × 98,641.92
  4. Step 4: Simplify right side
    323,230.98x = 47,828,912,182.27
  5. Step 5: Solve for x
    x = 47,828,912,182.27/323,230.98
  6. Step 6: Final answer
    x = 147,971.31

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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.