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Finding the Fourth Proportional to 493,491.57, 740,264.39 and 156,507.83

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Solution

The fourth proportional to 493,491.57, 740,264.39 and 156,507.83 is: 234,770.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,491.57 : 740,264.39 = 156,507.83 : x
  2. Step 2: Convert to fraction form
    493,491.57/740,264.39 = 156,507.83/x
  3. Step 3: Cross multiply
    493,491.57x = 740,264.39 × 156,507.83
  4. Step 4: Simplify right side
    493,491.57x = 115,857,169,995.12
  5. Step 5: Solve for x
    x = 115,857,169,995.12/493,491.57
  6. Step 6: Final answer
    x = 234,770.31

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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.