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Finding the Fourth Proportional to 468,709.48, 703,180.86 and 136,285.48

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Solution

The fourth proportional to 468,709.48, 703,180.86 and 136,285.48 is: 204,462.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,709.48 : 703,180.86 = 136,285.48 : x
  2. Step 2: Convert to fraction form
    468,709.48/703,180.86 = 136,285.48/x
  3. Step 3: Cross multiply
    468,709.48x = 703,180.86 × 136,285.48
  4. Step 4: Simplify right side
    468,709.48x = 95,833,341,031.91
  5. Step 5: Solve for x
    x = 95,833,341,031.91/468,709.48
  6. Step 6: Final answer
    x = 204,462.14

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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.