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Finding the Fourth Proportional to 874,278.50, 1,311,780.83 and 418,640.54

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Solution

The fourth proportional to 874,278.50, 1,311,780.83 and 418,640.54 is: 628,134.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    874,278.50 : 1,311,780.83 = 418,640.54 : x
  2. Step 2: Convert to fraction form
    874,278.50/1,311,780.83 = 418,640.54/x
  3. Step 3: Cross multiply
    874,278.50x = 1,311,780.83 × 418,640.54
  4. Step 4: Simplify right side
    874,278.50x = 549,164,626,380.74
  5. Step 5: Solve for x
    x = 549,164,626,380.74/874,278.50
  6. Step 6: Final answer
    x = 628,134.66

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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.