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Finding the Fourth Proportional to 315,856.56, 473,859.12 and 102,623.76

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Solution

The fourth proportional to 315,856.56, 473,859.12 and 102,623.76 is: 153,959.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,856.56 : 473,859.12 = 102,623.76 : x
  2. Step 2: Convert to fraction form
    315,856.56/473,859.12 = 102,623.76/x
  3. Step 3: Cross multiply
    315,856.56x = 473,859.12 × 102,623.76
  4. Step 4: Simplify right side
    315,856.56x = 48,629,204,604.69
  5. Step 5: Solve for x
    x = 48,629,204,604.69/315,856.56
  6. Step 6: Final answer
    x = 153,959.77

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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.