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Finding the Fourth Proportional to 412,176.43, 568,809.39 and 240,090

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Solution

The fourth proportional to 412,176.43, 568,809.39 and 240,090 is: 331,327.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,176.43 : 568,809.39 = 240,090 : x
  2. Step 2: Convert to fraction form
    412,176.43/568,809.39 = 240,090/x
  3. Step 3: Cross multiply
    412,176.43x = 568,809.39 × 240,090
  4. Step 4: Simplify right side
    412,176.43x = 136,565,446,445.10
  5. Step 5: Solve for x
    x = 136,565,446,445.10/412,176.43
  6. Step 6: Final answer
    x = 331,327.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.