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Finding the Fourth Proportional to 463,017.78, 694,066.86 and 262,924.02

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Solution

The fourth proportional to 463,017.78, 694,066.86 and 262,924.02 is: 394,124.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,017.78 : 694,066.86 = 262,924.02 : x
  2. Step 2: Convert to fraction form
    463,017.78/694,066.86 = 262,924.02/x
  3. Step 3: Cross multiply
    463,017.78x = 694,066.86 × 262,924.02
  4. Step 4: Simplify right side
    463,017.78x = 182,486,848,979.98
  5. Step 5: Solve for x
    x = 182,486,848,979.98/463,017.78
  6. Step 6: Final answer
    x = 394,124.93

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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.