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Finding the Fourth Proportional to 298,083.60, 447,562.80 and 179,985.60

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Solution

The fourth proportional to 298,083.60, 447,562.80 and 179,985.60 is: 270,242.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,083.60 : 447,562.80 = 179,985.60 : x
  2. Step 2: Convert to fraction form
    298,083.60/447,562.80 = 179,985.60/x
  3. Step 3: Cross multiply
    298,083.60x = 447,562.80 × 179,985.60
  4. Step 4: Simplify right side
    298,083.60x = 80,554,859,095.68
  5. Step 5: Solve for x
    x = 80,554,859,095.68/298,083.60
  6. Step 6: Final answer
    x = 270,242.51

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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.