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Finding the Fourth Proportional to 348,823.80, 522,069.30 and 243,847.80

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Solution

The fourth proportional to 348,823.80, 522,069.30 and 243,847.80 is: 364,956.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,823.80 : 522,069.30 = 243,847.80 : x
  2. Step 2: Convert to fraction form
    348,823.80/522,069.30 = 243,847.80/x
  3. Step 3: Cross multiply
    348,823.80x = 522,069.30 × 243,847.80
  4. Step 4: Simplify right side
    348,823.80x = 127,305,450,252.54
  5. Step 5: Solve for x
    x = 127,305,450,252.54/348,823.80
  6. Step 6: Final answer
    x = 364,956.32

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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.