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Finding the Fourth Proportional to 472,977.53, 652,723.41 and 269,058

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Solution

The fourth proportional to 472,977.53, 652,723.41 and 269,058 is: 371,308.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,977.53 : 652,723.41 = 269,058 : x
  2. Step 2: Convert to fraction form
    472,977.53/652,723.41 = 269,058/x
  3. Step 3: Cross multiply
    472,977.53x = 652,723.41 × 269,058
  4. Step 4: Simplify right side
    472,977.53x = 175,620,455,247.78
  5. Step 5: Solve for x
    x = 175,620,455,247.78/472,977.53
  6. Step 6: Final answer
    x = 371,308.24

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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.