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Finding the Fourth Proportional to 517,214.06, 713,758.92 and 287,781

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Solution

The fourth proportional to 517,214.06, 713,758.92 and 287,781 is: 397,139.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,214.06 : 713,758.92 = 287,781 : x
  2. Step 2: Convert to fraction form
    517,214.06/713,758.92 = 287,781/x
  3. Step 3: Cross multiply
    517,214.06x = 713,758.92 × 287,781
  4. Step 4: Simplify right side
    517,214.06x = 205,406,255,756.52
  5. Step 5: Solve for x
    x = 205,406,255,756.52/517,214.06
  6. Step 6: Final answer
    x = 397,139.74

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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.