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Finding the Fourth Proportional to 325,748.80, 488,266.80 and 115,278.40

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Solution

The fourth proportional to 325,748.80, 488,266.80 and 115,278.40 is: 172,791.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,748.80 : 488,266.80 = 115,278.40 : x
  2. Step 2: Convert to fraction form
    325,748.80/488,266.80 = 115,278.40/x
  3. Step 3: Cross multiply
    325,748.80x = 488,266.80 × 115,278.40
  4. Step 4: Simplify right side
    325,748.80x = 56,286,615,477.12
  5. Step 5: Solve for x
    x = 56,286,615,477.12/325,748.80
  6. Step 6: Final answer
    x = 172,791.47

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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.