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Finding the Fourth Proportional to 460,234.80, 690,070.32 and 179,424

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Solution

The fourth proportional to 460,234.80, 690,070.32 and 179,424 is: 269,026.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,234.80 : 690,070.32 = 179,424 : x
  2. Step 2: Convert to fraction form
    460,234.80/690,070.32 = 179,424/x
  3. Step 3: Cross multiply
    460,234.80x = 690,070.32 × 179,424
  4. Step 4: Simplify right side
    460,234.80x = 123,815,177,095.68
  5. Step 5: Solve for x
    x = 123,815,177,095.68/460,234.80
  6. Step 6: Final answer
    x = 269,026.11

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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.