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Finding the Fourth Proportional to 326,543.60, 489,159.30 and 186,138.20

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Solution

The fourth proportional to 326,543.60, 489,159.30 and 186,138.20 is: 278,833.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,543.60 : 489,159.30 = 186,138.20 : x
  2. Step 2: Convert to fraction form
    326,543.60/489,159.30 = 186,138.20/x
  3. Step 3: Cross multiply
    326,543.60x = 489,159.30 × 186,138.20
  4. Step 4: Simplify right side
    326,543.60x = 91,051,231,615.26
  5. Step 5: Solve for x
    x = 91,051,231,615.26/326,543.60
  6. Step 6: Final answer
    x = 278,833.31

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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.