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Finding the Fourth Proportional to 315,886.68, 435,922.56 and 172,646.64

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Solution

The fourth proportional to 315,886.68, 435,922.56 and 172,646.64 is: 238,251.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,886.68 : 435,922.56 = 172,646.64 : x
  2. Step 2: Convert to fraction form
    315,886.68/435,922.56 = 172,646.64/x
  3. Step 3: Cross multiply
    315,886.68x = 435,922.56 × 172,646.64
  4. Step 4: Simplify right side
    315,886.68x = 75,260,565,284.20
  5. Step 5: Solve for x
    x = 75,260,565,284.20/315,886.68
  6. Step 6: Final answer
    x = 238,251.78

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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.