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Finding the Fourth Proportional to 514,047.82, 709,385.89 and 287,693.32

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Solution

The fourth proportional to 514,047.82, 709,385.89 and 287,693.32 is: 397,016.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,047.82 : 709,385.89 = 287,693.32 : x
  2. Step 2: Convert to fraction form
    514,047.82/709,385.89 = 287,693.32/x
  3. Step 3: Cross multiply
    514,047.82x = 709,385.89 × 287,693.32
  4. Step 4: Simplify right side
    514,047.82x = 204,085,581,855.26
  5. Step 5: Solve for x
    x = 204,085,581,855.26/514,047.82
  6. Step 6: Final answer
    x = 397,016.72

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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.