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Finding the Fourth Proportional to 472,978.04, 652,724.10 and 269,058.51

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Solution

The fourth proportional to 472,978.04, 652,724.10 and 269,058.51 is: 371,308.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,978.04 : 652,724.10 = 269,058.51 : x
  2. Step 2: Convert to fraction form
    472,978.04/652,724.10 = 269,058.51/x
  3. Step 3: Cross multiply
    472,978.04x = 652,724.10 × 269,058.51
  4. Step 4: Simplify right side
    472,978.04x = 175,620,973,787.09
  5. Step 5: Solve for x
    x = 175,620,973,787.09/472,978.04
  6. Step 6: Final answer
    x = 371,308.94

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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.