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Finding the Fourth Proportional to 283,464, 425,215.44 and 93,924

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Solution

The fourth proportional to 283,464, 425,215.44 and 93,924 is: 140,892.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,464 : 425,215.44 = 93,924 : x
  2. Step 2: Convert to fraction form
    283,464/425,215.44 = 93,924/x
  3. Step 3: Cross multiply
    283,464x = 425,215.44 × 93,924
  4. Step 4: Simplify right side
    283,464x = 39,937,934,986.56
  5. Step 5: Solve for x
    x = 39,937,934,986.56/283,464
  6. Step 6: Final answer
    x = 140,892.44

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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.