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Finding the Fourth Proportional to 472,980.54, 708,854.73 and 192,169.50

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Solution

The fourth proportional to 472,980.54, 708,854.73 and 192,169.50 is: 288,003.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,980.54 : 708,854.73 = 192,169.50 : x
  2. Step 2: Convert to fraction form
    472,980.54/708,854.73 = 192,169.50/x
  3. Step 3: Cross multiply
    472,980.54x = 708,854.73 × 192,169.50
  4. Step 4: Simplify right side
    472,980.54x = 136,220,259,036.74
  5. Step 5: Solve for x
    x = 136,220,259,036.74/472,980.54
  6. Step 6: Final answer
    x = 288,003.94

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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.