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Finding the Fourth Proportional to 299,849.85, 413,752.79 and 192,565.22

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Solution

The fourth proportional to 299,849.85, 413,752.79 and 192,565.22 is: 265,714.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,849.85 : 413,752.79 = 192,565.22 : x
  2. Step 2: Convert to fraction form
    299,849.85/413,752.79 = 192,565.22/x
  3. Step 3: Cross multiply
    299,849.85x = 413,752.79 × 192,565.22
  4. Step 4: Simplify right side
    299,849.85x = 79,674,395,444.61
  5. Step 5: Solve for x
    x = 79,674,395,444.61/299,849.85
  6. Step 6: Final answer
    x = 265,714.31

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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.