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Finding the Fourth Proportional to 423,033.52, 583,787.12 and 232,048.48

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Solution

The fourth proportional to 423,033.52, 583,787.12 and 232,048.48 is: 320,227.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,033.52 : 583,787.12 = 232,048.48 : x
  2. Step 2: Convert to fraction form
    423,033.52/583,787.12 = 232,048.48/x
  3. Step 3: Cross multiply
    423,033.52x = 583,787.12 × 232,048.48
  4. Step 4: Simplify right side
    423,033.52x = 135,466,913,839.58
  5. Step 5: Solve for x
    x = 135,466,913,839.58/423,033.52
  6. Step 6: Final answer
    x = 320,227.38

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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.