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Finding the Fourth Proportional to 493,496.46, 740,242.20 and 119,519.46

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Solution

The fourth proportional to 493,496.46, 740,242.20 and 119,519.46 is: 179,278.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,496.46 : 740,242.20 = 119,519.46 : x
  2. Step 2: Convert to fraction form
    493,496.46/740,242.20 = 119,519.46/x
  3. Step 3: Cross multiply
    493,496.46x = 740,242.20 × 119,519.46
  4. Step 4: Simplify right side
    493,496.46x = 88,473,348,013.21
  5. Step 5: Solve for x
    x = 88,473,348,013.21/493,496.46
  6. Step 6: Final answer
    x = 179,278.59

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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.