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Finding the Fourth Proportional to 408,385.80, 611,120.70 and 258,697.80

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Solution

The fourth proportional to 408,385.80, 611,120.70 and 258,697.80 is: 387,123.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,385.80 : 611,120.70 = 258,697.80 : x
  2. Step 2: Convert to fraction form
    408,385.80/611,120.70 = 258,697.80/x
  3. Step 3: Cross multiply
    408,385.80x = 611,120.70 × 258,697.80
  4. Step 4: Simplify right side
    408,385.80x = 158,095,580,624.46
  5. Step 5: Solve for x
    x = 158,095,580,624.46/408,385.80
  6. Step 6: Final answer
    x = 387,123.11

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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.