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Finding the Fourth Proportional to 328,827.60, 493,759.80 and 188,859.60

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Solution

The fourth proportional to 328,827.60, 493,759.80 and 188,859.60 is: 283,587.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,827.60 : 493,759.80 = 188,859.60 : x
  2. Step 2: Convert to fraction form
    328,827.60/493,759.80 = 188,859.60/x
  3. Step 3: Cross multiply
    328,827.60x = 493,759.80 × 188,859.60
  4. Step 4: Simplify right side
    328,827.60x = 93,251,278,324.08
  5. Step 5: Solve for x
    x = 93,251,278,324.08/328,827.60
  6. Step 6: Final answer
    x = 283,587.14

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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.