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Finding the Fourth Proportional to 412,073.24, 568,748.94 and 242,404.16

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Solution

The fourth proportional to 412,073.24, 568,748.94 and 242,404.16 is: 334,569.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,073.24 : 568,748.94 = 242,404.16 : x
  2. Step 2: Convert to fraction form
    412,073.24/568,748.94 = 242,404.16/x
  3. Step 3: Cross multiply
    412,073.24x = 568,748.94 × 242,404.16
  4. Step 4: Simplify right side
    412,073.24x = 137,867,109,051.59
  5. Step 5: Solve for x
    x = 137,867,109,051.59/412,073.24
  6. Step 6: Final answer
    x = 334,569.43

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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.