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Finding the Fourth Proportional to 423,356.26, 584,238.54 and 232,387.42

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Solution

The fourth proportional to 423,356.26, 584,238.54 and 232,387.42 is: 320,698.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,356.26 : 584,238.54 = 232,387.42 : x
  2. Step 2: Convert to fraction form
    423,356.26/584,238.54 = 232,387.42/x
  3. Step 3: Cross multiply
    423,356.26x = 584,238.54 × 232,387.42
  4. Step 4: Simplify right side
    423,356.26x = 135,769,686,975.17
  5. Step 5: Solve for x
    x = 135,769,686,975.17/423,356.26
  6. Step 6: Final answer
    x = 320,698.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.