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Finding the Fourth Proportional to 493,694.13, 740,541.20 and 119,717.13

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Solution

The fourth proportional to 493,694.13, 740,541.20 and 119,717.13 is: 179,575.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,694.13 : 740,541.20 = 119,717.13 : x
  2. Step 2: Convert to fraction form
    493,694.13/740,541.20 = 119,717.13/x
  3. Step 3: Cross multiply
    493,694.13x = 740,541.20 × 119,717.13
  4. Step 4: Simplify right side
    493,694.13x = 88,655,467,110.76
  5. Step 5: Solve for x
    x = 88,655,467,110.76/493,694.13
  6. Step 6: Final answer
    x = 179,575.70

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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.