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Finding the Fourth Proportional to 578,267.40, 866,234.70 and 328,657.80

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Solution

The fourth proportional to 578,267.40, 866,234.70 and 328,657.80 is: 492,323.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    578,267.40 : 866,234.70 = 328,657.80 : x
  2. Step 2: Convert to fraction form
    578,267.40/866,234.70 = 328,657.80/x
  3. Step 3: Cross multiply
    578,267.40x = 866,234.70 × 328,657.80
  4. Step 4: Simplify right side
    578,267.40x = 284,694,790,785.66
  5. Step 5: Solve for x
    x = 284,694,790,785.66/578,267.40
  6. Step 6: Final answer
    x = 492,323.78

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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.