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Finding the Fourth Proportional to 315,760.06, 435,743.78 and 172,517.02

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Solution

The fourth proportional to 315,760.06, 435,743.78 and 172,517.02 is: 238,070.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,760.06 : 435,743.78 = 172,517.02 : x
  2. Step 2: Convert to fraction form
    315,760.06/435,743.78 = 172,517.02/x
  3. Step 3: Cross multiply
    315,760.06x = 435,743.78 × 172,517.02
  4. Step 4: Simplify right side
    315,760.06x = 75,173,218,409.14
  5. Step 5: Solve for x
    x = 75,173,218,409.14/315,760.06
  6. Step 6: Final answer
    x = 238,070.70

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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.