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Finding the Fourth Proportional to 623,589, 860,786.82 and 408,742.92

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Solution

The fourth proportional to 623,589, 860,786.82 and 408,742.92 is: 564,218.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    623,589 : 860,786.82 = 408,742.92 : x
  2. Step 2: Convert to fraction form
    623,589/860,786.82 = 408,742.92/x
  3. Step 3: Cross multiply
    623,589x = 860,786.82 × 408,742.92
  4. Step 4: Simplify right side
    623,589x = 351,840,518,304.31
  5. Step 5: Solve for x
    x = 351,840,518,304.31/623,589
  6. Step 6: Final answer
    x = 564,218.61

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.