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Finding the Fourth Proportional to 325,875.20, 489,250.20 and 208,068.80

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Solution

The fourth proportional to 325,875.20, 489,250.20 and 208,068.80 is: 312,382.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,875.20 : 489,250.20 = 208,068.80 : x
  2. Step 2: Convert to fraction form
    325,875.20/489,250.20 = 208,068.80/x
  3. Step 3: Cross multiply
    325,875.20x = 489,250.20 × 208,068.80
  4. Step 4: Simplify right side
    325,875.20x = 101,797,702,013.76
  5. Step 5: Solve for x
    x = 101,797,702,013.76/325,875.20
  6. Step 6: Final answer
    x = 312,382.48

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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.