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Finding the Fourth Proportional to 325,830.66, 488,813.40 and 157,468.14

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Solution

The fourth proportional to 325,830.66, 488,813.40 and 157,468.14 is: 236,234.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,830.66 : 488,813.40 = 157,468.14 : x
  2. Step 2: Convert to fraction form
    325,830.66/488,813.40 = 157,468.14/x
  3. Step 3: Cross multiply
    325,830.66x = 488,813.40 × 157,468.14
  4. Step 4: Simplify right side
    325,830.66x = 76,972,536,905.08
  5. Step 5: Solve for x
    x = 76,972,536,905.08/325,830.66
  6. Step 6: Final answer
    x = 236,234.79

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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.