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Finding the Fourth Proportional to 315,198.40, 472,214.40 and 294,203.20

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Solution

The fourth proportional to 315,198.40, 472,214.40 and 294,203.20 is: 440,760.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,198.40 : 472,214.40 = 294,203.20 : x
  2. Step 2: Convert to fraction form
    315,198.40/472,214.40 = 294,203.20/x
  3. Step 3: Cross multiply
    315,198.40x = 472,214.40 × 294,203.20
  4. Step 4: Simplify right side
    315,198.40x = 138,926,987,566.08
  5. Step 5: Solve for x
    x = 138,926,987,566.08/315,198.40
  6. Step 6: Final answer
    x = 440,760.45

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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.