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Finding the Fourth Proportional to 513,580.60, 708,709.08 and 284,132.44

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Solution

The fourth proportional to 513,580.60, 708,709.08 and 284,132.44 is: 392,084.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,580.60 : 708,709.08 = 284,132.44 : x
  2. Step 2: Convert to fraction form
    513,580.60/708,709.08 = 284,132.44/x
  3. Step 3: Cross multiply
    513,580.60x = 708,709.08 × 284,132.44
  4. Step 4: Simplify right side
    513,580.60x = 201,367,240,150.56
  5. Step 5: Solve for x
    x = 201,367,240,150.56/513,580.60
  6. Step 6: Final answer
    x = 392,084.98

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.