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Finding the Fourth Proportional to 472,633, 708,552.06 and 192,351.40

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Solution

The fourth proportional to 472,633, 708,552.06 and 192,351.40 is: 288,365.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,633 : 708,552.06 = 192,351.40 : x
  2. Step 2: Convert to fraction form
    472,633/708,552.06 = 192,351.40/x
  3. Step 3: Cross multiply
    472,633x = 708,552.06 × 192,351.40
  4. Step 4: Simplify right side
    472,633x = 136,290,980,713.88
  5. Step 5: Solve for x
    x = 136,290,980,713.88/472,633
  6. Step 6: Final answer
    x = 288,365.35

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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.