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Finding the Fourth Proportional to 513,983.80, 709,291.50 and 287,631.16

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Solution

The fourth proportional to 513,983.80, 709,291.50 and 287,631.16 is: 396,927.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,983.80 : 709,291.50 = 287,631.16 : x
  2. Step 2: Convert to fraction form
    513,983.80/709,291.50 = 287,631.16/x
  3. Step 3: Cross multiply
    513,983.80x = 709,291.50 × 287,631.16
  4. Step 4: Simplify right side
    513,983.80x = 204,014,336,923.14
  5. Step 5: Solve for x
    x = 204,014,336,923.14/513,983.80
  6. Step 6: Final answer
    x = 396,927.56

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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.