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Finding the Fourth Proportional to 472,980.67, 708,854.92 and 192,169.63

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Solution

The fourth proportional to 472,980.67, 708,854.92 and 192,169.63 is: 288,004.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,980.67 : 708,854.92 = 192,169.63 : x
  2. Step 2: Convert to fraction form
    472,980.67/708,854.92 = 192,169.63/x
  3. Step 3: Cross multiply
    472,980.67x = 708,854.92 × 192,169.63
  4. Step 4: Simplify right side
    472,980.67x = 136,220,383,194.96
  5. Step 5: Solve for x
    x = 136,220,383,194.96/472,980.67
  6. Step 6: Final answer
    x = 288,004.13

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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.