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Finding the Fourth Proportional to 472,894.08, 709,662.42 and 192,462.36

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Solution

The fourth proportional to 472,894.08, 709,662.42 and 192,462.36 is: 288,824.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,894.08 : 709,662.42 = 192,462.36 : x
  2. Step 2: Convert to fraction form
    472,894.08/709,662.42 = 192,462.36/x
  3. Step 3: Cross multiply
    472,894.08x = 709,662.42 × 192,462.36
  4. Step 4: Simplify right side
    472,894.08x = 136,583,304,156.51
  5. Step 5: Solve for x
    x = 136,583,304,156.51/472,894.08
  6. Step 6: Final answer
    x = 288,824.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.