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Finding the Fourth Proportional to 464,972.80, 697,459.20 and 165,791.20

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Solution

The fourth proportional to 464,972.80, 697,459.20 and 165,791.20 is: 248,686.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,972.80 : 697,459.20 = 165,791.20 : x
  2. Step 2: Convert to fraction form
    464,972.80/697,459.20 = 165,791.20/x
  3. Step 3: Cross multiply
    464,972.80x = 697,459.20 × 165,791.20
  4. Step 4: Simplify right side
    464,972.80x = 115,632,597,719.04
  5. Step 5: Solve for x
    x = 115,632,597,719.04/464,972.80
  6. Step 6: Final answer
    x = 248,686.80

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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.