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Finding the Fourth Proportional to 423,542.34, 584,761.95 and 262,569.42

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Solution

The fourth proportional to 423,542.34, 584,761.95 and 262,569.42 is: 362,515.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,542.34 : 584,761.95 = 262,569.42 : x
  2. Step 2: Convert to fraction form
    423,542.34/584,761.95 = 262,569.42/x
  3. Step 3: Cross multiply
    423,542.34x = 584,761.95 × 262,569.42
  4. Step 4: Simplify right side
    423,542.34x = 153,540,606,049.57
  5. Step 5: Solve for x
    x = 153,540,606,049.57/423,542.34
  6. Step 6: Final answer
    x = 362,515.37

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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.