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Finding the Fourth Proportional to 516,911.36, 713,338.11 and 287,463.65

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Solution

The fourth proportional to 516,911.36, 713,338.11 and 287,463.65 is: 396,700.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,911.36 : 713,338.11 = 287,463.65 : x
  2. Step 2: Convert to fraction form
    516,911.36/713,338.11 = 287,463.65/x
  3. Step 3: Cross multiply
    516,911.36x = 713,338.11 × 287,463.65
  4. Step 4: Simplify right side
    516,911.36x = 205,058,773,218.01
  5. Step 5: Solve for x
    x = 205,058,773,218.01/516,911.36
  6. Step 6: Final answer
    x = 396,700.07

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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.