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Finding the Fourth Proportional to 689,734.24, 951,833.04 and 387,928

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Solution

The fourth proportional to 689,734.24, 951,833.04 and 387,928 is: 535,340.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    689,734.24 : 951,833.04 = 387,928 : x
  2. Step 2: Convert to fraction form
    689,734.24/951,833.04 = 387,928/x
  3. Step 3: Cross multiply
    689,734.24x = 951,833.04 × 387,928
  4. Step 4: Simplify right side
    689,734.24x = 369,242,687,541.12
  5. Step 5: Solve for x
    x = 369,242,687,541.12/689,734.24
  6. Step 6: Final answer
    x = 535,340.52

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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.