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Finding the Fourth Proportional to 514,042.57, 709,378.66 and 287,688.07

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Solution

The fourth proportional to 514,042.57, 709,378.66 and 287,688.07 is: 397,009.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,042.57 : 709,378.66 = 287,688.07 : x
  2. Step 2: Convert to fraction form
    514,042.57/709,378.66 = 287,688.07/x
  3. Step 3: Cross multiply
    514,042.57x = 709,378.66 × 287,688.07
  4. Step 4: Simplify right side
    514,042.57x = 204,079,777,594.59
  5. Step 5: Solve for x
    x = 204,079,777,594.59/514,042.57
  6. Step 6: Final answer
    x = 397,009.49

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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.