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Finding the Fourth Proportional to 493,004.24, 739,617.13 and 156,065.10

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Solution

The fourth proportional to 493,004.24, 739,617.13 and 156,065.10 is: 234,132.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,004.24 : 739,617.13 = 156,065.10 : x
  2. Step 2: Convert to fraction form
    493,004.24/739,617.13 = 156,065.10/x
  3. Step 3: Cross multiply
    493,004.24x = 739,617.13 × 156,065.10
  4. Step 4: Simplify right side
    493,004.24x = 115,428,421,550.24
  5. Step 5: Solve for x
    x = 115,428,421,550.24/493,004.24
  6. Step 6: Final answer
    x = 234,132.71

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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.