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Finding the Fourth Proportional to 411,556.80, 618,647.40 and 387,937.20

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Solution

The fourth proportional to 411,556.80, 618,647.40 and 387,937.20 is: 583,142.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,556.80 : 618,647.40 = 387,937.20 : x
  2. Step 2: Convert to fraction form
    411,556.80/618,647.40 = 387,937.20/x
  3. Step 3: Cross multiply
    411,556.80x = 618,647.40 × 387,937.20
  4. Step 4: Simplify right side
    411,556.80x = 239,996,340,143.28
  5. Step 5: Solve for x
    x = 239,996,340,143.28/411,556.80
  6. Step 6: Final answer
    x = 583,142.69

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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.