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Finding the Fourth Proportional to 409,834.60, 615,140.70 and 252,370.60

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Solution

The fourth proportional to 409,834.60, 615,140.70 and 252,370.60 is: 378,795.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,834.60 : 615,140.70 = 252,370.60 : x
  2. Step 2: Convert to fraction form
    409,834.60/615,140.70 = 252,370.60/x
  3. Step 3: Cross multiply
    409,834.60x = 615,140.70 × 252,370.60
  4. Step 4: Simplify right side
    409,834.60x = 155,243,427,543.42
  5. Step 5: Solve for x
    x = 155,243,427,543.42/409,834.60
  6. Step 6: Final answer
    x = 378,795.32

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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.