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Finding the Fourth Proportional to 409,697.60, 614,575.20 and 232,289.60

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Solution

The fourth proportional to 409,697.60, 614,575.20 and 232,289.60 is: 348,450.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,697.60 : 614,575.20 = 232,289.60 : x
  2. Step 2: Convert to fraction form
    409,697.60/614,575.20 = 232,289.60/x
  3. Step 3: Cross multiply
    409,697.60x = 614,575.20 × 232,289.60
  4. Step 4: Simplify right side
    409,697.60x = 142,759,427,377.92
  5. Step 5: Solve for x
    x = 142,759,427,377.92/409,697.60
  6. Step 6: Final answer
    x = 348,450.73

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1.5x scale

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.