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Finding the Fourth Proportional to 315,875.76, 435,907.52 and 172,635.78

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Solution

The fourth proportional to 315,875.76, 435,907.52 and 172,635.78 is: 238,236.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,875.76 : 435,907.52 = 172,635.78 : x
  2. Step 2: Convert to fraction form
    315,875.76/435,907.52 = 172,635.78/x
  3. Step 3: Cross multiply
    315,875.76x = 435,907.52 × 172,635.78
  4. Step 4: Simplify right side
    315,875.76x = 75,253,234,723.07
  5. Step 5: Solve for x
    x = 75,253,234,723.07/315,875.76
  6. Step 6: Final answer
    x = 238,236.81

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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.