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Finding the Fourth Proportional to 325,817.60, 488,726.40 and 201,228.80

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Solution

The fourth proportional to 325,817.60, 488,726.40 and 201,228.80 is: 301,843.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,817.60 : 488,726.40 = 201,228.80 : x
  2. Step 2: Convert to fraction form
    325,817.60/488,726.40 = 201,228.80/x
  3. Step 3: Cross multiply
    325,817.60x = 488,726.40 × 201,228.80
  4. Step 4: Simplify right side
    325,817.60x = 98,345,827,000.32
  5. Step 5: Solve for x
    x = 98,345,827,000.32/325,817.60
  6. Step 6: Final answer
    x = 301,843.20

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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.