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Finding the Fourth Proportional to 377,407.80, 566,194.86 and 164,209.19

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Solution

The fourth proportional to 377,407.80, 566,194.86 and 164,209.19 is: 246,349.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,407.80 : 566,194.86 = 164,209.19 : x
  2. Step 2: Convert to fraction form
    377,407.80/566,194.86 = 164,209.19/x
  3. Step 3: Cross multiply
    377,407.80x = 566,194.86 × 164,209.19
  4. Step 4: Simplify right side
    377,407.80x = 92,974,396,511.79
  5. Step 5: Solve for x
    x = 92,974,396,511.79/377,407.80
  6. Step 6: Final answer
    x = 246,349.96

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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.