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Finding the Fourth Proportional to 410,109.20, 615,624.60 and 317,027.60

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Solution

The fourth proportional to 410,109.20, 615,624.60 and 317,027.60 is: 475,897.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,109.20 : 615,624.60 = 317,027.60 : x
  2. Step 2: Convert to fraction form
    410,109.20/615,624.60 = 317,027.60/x
  3. Step 3: Cross multiply
    410,109.20x = 615,624.60 × 317,027.60
  4. Step 4: Simplify right side
    410,109.20x = 195,169,989,438.96
  5. Step 5: Solve for x
    x = 195,169,989,438.96/410,109.20
  6. Step 6: Final answer
    x = 475,897.61

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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.