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Finding the Fourth Proportional to 337,790.16, 506,238.12 and 179,678.16

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Solution

The fourth proportional to 337,790.16, 506,238.12 and 179,678.16 is: 269,279.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,790.16 : 506,238.12 = 179,678.16 : x
  2. Step 2: Convert to fraction form
    337,790.16/506,238.12 = 179,678.16/x
  3. Step 3: Cross multiply
    337,790.16x = 506,238.12 × 179,678.16
  4. Step 4: Simplify right side
    337,790.16x = 90,959,933,923.46
  5. Step 5: Solve for x
    x = 90,959,933,923.46/337,790.16
  6. Step 6: Final answer
    x = 269,279.41

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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.