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Finding the Fourth Proportional to 315,815.71, 435,826.82 and 172,575.76

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Solution

The fourth proportional to 315,815.71, 435,826.82 and 172,575.76 is: 238,155.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,815.71 : 435,826.82 = 172,575.76 : x
  2. Step 2: Convert to fraction form
    315,815.71/435,826.82 = 172,575.76/x
  3. Step 3: Cross multiply
    315,815.71x = 435,826.82 × 172,575.76
  4. Step 4: Simplify right side
    315,815.71x = 75,213,144,689.88
  5. Step 5: Solve for x
    x = 75,213,144,689.88/315,815.71
  6. Step 6: Final answer
    x = 238,155.17

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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.