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Finding the Fourth Proportional to 325,949.80, 488,924.70 and 282,209.80

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Solution

The fourth proportional to 325,949.80, 488,924.70 and 282,209.80 is: 423,314.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,949.80 : 488,924.70 = 282,209.80 : x
  2. Step 2: Convert to fraction form
    325,949.80/488,924.70 = 282,209.80/x
  3. Step 3: Cross multiply
    325,949.80x = 488,924.70 × 282,209.80
  4. Step 4: Simplify right side
    325,949.80x = 137,979,341,802.06
  5. Step 5: Solve for x
    x = 137,979,341,802.06/325,949.80
  6. Step 6: Final answer
    x = 423,314.70

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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.