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Finding the Fourth Proportional to 326,354.59, 489,065.32 and 185,822.83

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Solution

The fourth proportional to 326,354.59, 489,065.32 and 185,822.83 is: 278,468.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,354.59 : 489,065.32 = 185,822.83 : x
  2. Step 2: Convert to fraction form
    326,354.59/489,065.32 = 185,822.83/x
  3. Step 3: Cross multiply
    326,354.59x = 489,065.32 × 185,822.83
  4. Step 4: Simplify right side
    326,354.59x = 90,879,501,817.26
  5. Step 5: Solve for x
    x = 90,879,501,817.26/326,354.59
  6. Step 6: Final answer
    x = 278,468.59

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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.