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Finding the Fourth Proportional to 326,095.40, 489,143.10 and 280,994.60

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Solution

The fourth proportional to 326,095.40, 489,143.10 and 280,994.60 is: 421,491.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,095.40 : 489,143.10 = 280,994.60 : x
  2. Step 2: Convert to fraction form
    326,095.40/489,143.10 = 280,994.60/x
  3. Step 3: Cross multiply
    326,095.40x = 489,143.10 × 280,994.60
  4. Step 4: Simplify right side
    326,095.40x = 137,446,569,727.26
  5. Step 5: Solve for x
    x = 137,446,569,727.26/326,095.40
  6. Step 6: Final answer
    x = 421,491.90

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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.