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Finding the Fourth Proportional to 325,468.14, 488,280.14 and 135,823.01

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Solution

The fourth proportional to 325,468.14, 488,280.14 and 135,823.01 is: 203,767.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,468.14 : 488,280.14 = 135,823.01 : x
  2. Step 2: Convert to fraction form
    325,468.14/488,280.14 = 135,823.01/x
  3. Step 3: Cross multiply
    325,468.14x = 488,280.14 × 135,823.01
  4. Step 4: Simplify right side
    325,468.14x = 66,319,679,898.28
  5. Step 5: Solve for x
    x = 66,319,679,898.28/325,468.14
  6. Step 6: Final answer
    x = 203,767.04

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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.