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Finding the Fourth Proportional to 312,575.60, 468,863.40 and 102,234.80

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Solution

The fourth proportional to 312,575.60, 468,863.40 and 102,234.80 is: 153,352.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,575.60 : 468,863.40 = 102,234.80 : x
  2. Step 2: Convert to fraction form
    312,575.60/468,863.40 = 102,234.80/x
  3. Step 3: Cross multiply
    312,575.60x = 468,863.40 × 102,234.80
  4. Step 4: Simplify right side
    312,575.60x = 47,934,155,926.32
  5. Step 5: Solve for x
    x = 47,934,155,926.32/312,575.60
  6. Step 6: Final answer
    x = 153,352.20

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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.