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Finding the Fourth Proportional to 414,520.86, 621,188.01 and 177,800.22

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Solution

The fourth proportional to 414,520.86, 621,188.01 and 177,800.22 is: 266,445.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,520.86 : 621,188.01 = 177,800.22 : x
  2. Step 2: Convert to fraction form
    414,520.86/621,188.01 = 177,800.22/x
  3. Step 3: Cross multiply
    414,520.86x = 621,188.01 × 177,800.22
  4. Step 4: Simplify right side
    414,520.86x = 110,447,364,839.36
  5. Step 5: Solve for x
    x = 110,447,364,839.36/414,520.86
  6. Step 6: Final answer
    x = 266,445.85

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1.5x scale

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.