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Finding the Fourth Proportional to 403,314.80, 604,826.40 and 203,568.80

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Solution

The fourth proportional to 403,314.80, 604,826.40 and 203,568.80 is: 305,279.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,314.80 : 604,826.40 = 203,568.80 : x
  2. Step 2: Convert to fraction form
    403,314.80/604,826.40 = 203,568.80/x
  3. Step 3: Cross multiply
    403,314.80x = 604,826.40 × 203,568.80
  4. Step 4: Simplify right side
    403,314.80x = 123,123,784,456.32
  5. Step 5: Solve for x
    x = 123,123,784,456.32/403,314.80
  6. Step 6: Final answer
    x = 305,279.61

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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.