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Finding the Fourth Proportional to 472,643.10, 652,223.75 and 268,667.28

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Solution

The fourth proportional to 472,643.10, 652,223.75 and 268,667.28 is: 370,747.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,643.10 : 652,223.75 = 268,667.28 : x
  2. Step 2: Convert to fraction form
    472,643.10/652,223.75 = 268,667.28/x
  3. Step 3: Cross multiply
    472,643.10x = 652,223.75 × 268,667.28
  4. Step 4: Simplify right side
    472,643.10x = 175,231,179,520.56
  5. Step 5: Solve for x
    x = 175,231,179,520.56/472,643.10
  6. Step 6: Final answer
    x = 370,747.36

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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.