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Finding the Fourth Proportional to 423,242.91, 584,082.50 and 232,274.07

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Solution

The fourth proportional to 423,242.91, 584,082.50 and 232,274.07 is: 320,542.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,242.91 : 584,082.50 = 232,274.07 : x
  2. Step 2: Convert to fraction form
    423,242.91/584,082.50 = 232,274.07/x
  3. Step 3: Cross multiply
    423,242.91x = 584,082.50 × 232,274.07
  4. Step 4: Simplify right side
    423,242.91x = 135,667,218,329.41
  5. Step 5: Solve for x
    x = 135,667,218,329.41/423,242.91
  6. Step 6: Final answer
    x = 320,542.21

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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.