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Finding the Fourth Proportional to 315,819.52, 435,836.64 and 172,585.60

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Solution

The fourth proportional to 315,819.52, 435,836.64 and 172,585.60 is: 238,171.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,819.52 : 435,836.64 = 172,585.60 : x
  2. Step 2: Convert to fraction form
    315,819.52/435,836.64 = 172,585.60/x
  3. Step 3: Cross multiply
    315,819.52x = 435,836.64 × 172,585.60
  4. Step 4: Simplify right side
    315,819.52x = 75,219,128,016.38
  5. Step 5: Solve for x
    x = 75,219,128,016.38/315,819.52
  6. Step 6: Final answer
    x = 238,171.24

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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.