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Finding the Fourth Proportional to 410,405.78, 566,595.57 and 312,843.86

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Solution

The fourth proportional to 410,405.78, 566,595.57 and 312,843.86 is: 431,904.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,405.78 : 566,595.57 = 312,843.86 : x
  2. Step 2: Convert to fraction form
    410,405.78/566,595.57 = 312,843.86/x
  3. Step 3: Cross multiply
    410,405.78x = 566,595.57 × 312,843.86
  4. Step 4: Simplify right side
    410,405.78x = 177,255,945,177.70
  5. Step 5: Solve for x
    x = 177,255,945,177.70/410,405.78
  6. Step 6: Final answer
    x = 431,904.11

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.