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Finding the Fourth Proportional to 315,826.53, 473,814.15 and 102,593.76

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Solution

The fourth proportional to 315,826.53, 473,814.15 and 102,593.76 is: 153,914.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,826.53 : 473,814.15 = 102,593.76 : x
  2. Step 2: Convert to fraction form
    315,826.53/473,814.15 = 102,593.76/x
  3. Step 3: Cross multiply
    315,826.53x = 473,814.15 × 102,593.76
  4. Step 4: Simplify right side
    315,826.53x = 48,610,375,189.70
  5. Step 5: Solve for x
    x = 48,610,375,189.70/315,826.53
  6. Step 6: Final answer
    x = 153,914.79

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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.