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Finding the Fourth Proportional to 513,469.09, 708,532.84 and 283,989.90

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Solution

The fourth proportional to 513,469.09, 708,532.84 and 283,989.90 is: 391,875.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,469.09 : 708,532.84 = 283,989.90 : x
  2. Step 2: Convert to fraction form
    513,469.09/708,532.84 = 283,989.90/x
  3. Step 3: Cross multiply
    513,469.09x = 708,532.84 × 283,989.90
  4. Step 4: Simplify right side
    513,469.09x = 201,216,170,378.32
  5. Step 5: Solve for x
    x = 201,216,170,378.32/513,469.09
  6. Step 6: Final answer
    x = 391,875.92

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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.