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Finding the Fourth Proportional to 461,757.60, 692,701.20 and 146,181.60

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Solution

The fourth proportional to 461,757.60, 692,701.20 and 146,181.60 is: 219,292.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,757.60 : 692,701.20 = 146,181.60 : x
  2. Step 2: Convert to fraction form
    461,757.60/692,701.20 = 146,181.60/x
  3. Step 3: Cross multiply
    461,757.60x = 692,701.20 × 146,181.60
  4. Step 4: Simplify right side
    461,757.60x = 101,260,169,737.92
  5. Step 5: Solve for x
    x = 101,260,169,737.92/461,757.60
  6. Step 6: Final answer
    x = 219,292.91

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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.