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Finding the Fourth Proportional to 395,002.44, 592,363.62 and 142,215.12

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Solution

The fourth proportional to 395,002.44, 592,363.62 and 142,215.12 is: 213,272.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,002.44 : 592,363.62 = 142,215.12 : x
  2. Step 2: Convert to fraction form
    395,002.44/592,363.62 = 142,215.12/x
  3. Step 3: Cross multiply
    395,002.44x = 592,363.62 × 142,215.12
  4. Step 4: Simplify right side
    395,002.44x = 84,243,063,301.93
  5. Step 5: Solve for x
    x = 84,243,063,301.93/395,002.44
  6. Step 6: Final answer
    x = 213,272.26

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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.