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Finding the Fourth Proportional to 412,152.60, 618,228.90 and 307,176.60

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Solution

The fourth proportional to 412,152.60, 618,228.90 and 307,176.60 is: 460,764.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,152.60 : 618,228.90 = 307,176.60 : x
  2. Step 2: Convert to fraction form
    412,152.60/618,228.90 = 307,176.60/x
  3. Step 3: Cross multiply
    412,152.60x = 618,228.90 × 307,176.60
  4. Step 4: Simplify right side
    412,152.60x = 189,905,451,523.74
  5. Step 5: Solve for x
    x = 189,905,451,523.74/412,152.60
  6. Step 6: Final answer
    x = 460,764.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.