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Finding the Fourth Proportional to 386,032.44, 532,697.88 and 213,948.72

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Solution

The fourth proportional to 386,032.44, 532,697.88 and 213,948.72 is: 295,234.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,032.44 : 532,697.88 = 213,948.72 : x
  2. Step 2: Convert to fraction form
    386,032.44/532,697.88 = 213,948.72/x
  3. Step 3: Cross multiply
    386,032.44x = 532,697.88 × 213,948.72
  4. Step 4: Simplify right side
    386,032.44x = 113,970,029,572.71
  5. Step 5: Solve for x
    x = 113,970,029,572.71/386,032.44
  6. Step 6: Final answer
    x = 295,234.33

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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.