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Finding the Fourth Proportional to 517,004.38, 713,453.52 and 287,560.90

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Solution

The fourth proportional to 517,004.38, 713,453.52 and 287,560.90 is: 396,827.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,004.38 : 713,453.52 = 287,560.90 : x
  2. Step 2: Convert to fraction form
    517,004.38/713,453.52 = 287,560.90/x
  3. Step 3: Cross multiply
    517,004.38x = 713,453.52 × 287,560.90
  4. Step 4: Simplify right side
    517,004.38x = 205,161,336,319.37
  5. Step 5: Solve for x
    x = 205,161,336,319.37/517,004.38
  6. Step 6: Final answer
    x = 396,827.08

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Why These Related Problems?

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