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Finding the Fourth Proportional to 472,374.80, 708,562.20 and 192,093.20

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Solution

The fourth proportional to 472,374.80, 708,562.20 and 192,093.20 is: 288,139.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,374.80 : 708,562.20 = 192,093.20 : x
  2. Step 2: Convert to fraction form
    472,374.80/708,562.20 = 192,093.20/x
  3. Step 3: Cross multiply
    472,374.80x = 708,562.20 × 192,093.20
  4. Step 4: Simplify right side
    472,374.80x = 136,109,980,397.04
  5. Step 5: Solve for x
    x = 136,109,980,397.04/472,374.80
  6. Step 6: Final answer
    x = 288,139.80

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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.