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Finding the Fourth Proportional to 516,980.30, 713,420.33 and 287,536.91

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Solution

The fourth proportional to 516,980.30, 713,420.33 and 287,536.91 is: 396,793.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,980.30 : 713,420.33 = 287,536.91 : x
  2. Step 2: Convert to fraction form
    516,980.30/713,420.33 = 287,536.91/x
  3. Step 3: Cross multiply
    516,980.30x = 713,420.33 × 287,536.91
  4. Step 4: Simplify right side
    516,980.30x = 205,134,672,214.59
  5. Step 5: Solve for x
    x = 205,134,672,214.59/516,980.30
  6. Step 6: Final answer
    x = 396,793.99

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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.