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Finding the Fourth Proportional to 387,117, 580,675.50 and 106,634.28

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Solution

The fourth proportional to 387,117, 580,675.50 and 106,634.28 is: 159,951.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,117 : 580,675.50 = 106,634.28 : x
  2. Step 2: Convert to fraction form
    387,117/580,675.50 = 106,634.28/x
  3. Step 3: Cross multiply
    387,117x = 580,675.50 × 106,634.28
  4. Step 4: Simplify right side
    387,117x = 61,919,913,856.14
  5. Step 5: Solve for x
    x = 61,919,913,856.14/387,117
  6. Step 6: Final answer
    x = 159,951.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.