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Finding the Fourth Proportional to 315,815.47, 435,826.51 and 172,575.54

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Solution

The fourth proportional to 315,815.47, 435,826.51 and 172,575.54 is: 238,154.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,815.47 : 435,826.51 = 172,575.54 : x
  2. Step 2: Convert to fraction form
    315,815.47/435,826.51 = 172,575.54/x
  3. Step 3: Cross multiply
    315,815.47x = 435,826.51 × 172,575.54
  4. Step 4: Simplify right side
    315,815.47x = 75,212,995,309.57
  5. Step 5: Solve for x
    x = 75,212,995,309.57/315,815.47
  6. Step 6: Final answer
    x = 238,154.88

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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.