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Finding the Fourth Proportional to 312,734.32, 469,159.16 and 102,383.92

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Solution

The fourth proportional to 312,734.32, 469,159.16 and 102,383.92 is: 153,594.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,734.32 : 469,159.16 = 102,383.92 : x
  2. Step 2: Convert to fraction form
    312,734.32/469,159.16 = 102,383.92/x
  3. Step 3: Cross multiply
    312,734.32x = 469,159.16 × 102,383.92
  4. Step 4: Simplify right side
    312,734.32x = 48,034,353,904.71
  5. Step 5: Solve for x
    x = 48,034,353,904.71/312,734.32
  6. Step 6: Final answer
    x = 153,594.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.