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Finding the Fourth Proportional to 298,084.92, 447,246.86 and 108,558.50

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Solution

The fourth proportional to 298,084.92, 447,246.86 and 108,558.50 is: 162,881.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,084.92 : 447,246.86 = 108,558.50 : x
  2. Step 2: Convert to fraction form
    298,084.92/447,246.86 = 108,558.50/x
  3. Step 3: Cross multiply
    298,084.92x = 447,246.86 × 108,558.50
  4. Step 4: Simplify right side
    298,084.92x = 48,552,445,472.28
  5. Step 5: Solve for x
    x = 48,552,445,472.28/298,084.92
  6. Step 6: Final answer
    x = 162,881.25

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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.