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Finding the Fourth Proportional to 414,522.86, 621,191.01 and 177,802.22

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Solution

The fourth proportional to 414,522.86, 621,191.01 and 177,802.22 is: 266,448.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,522.86 : 621,191.01 = 177,802.22 : x
  2. Step 2: Convert to fraction form
    414,522.86/621,191.01 = 177,802.22/x
  3. Step 3: Cross multiply
    414,522.86x = 621,191.01 × 177,802.22
  4. Step 4: Simplify right side
    414,522.86x = 110,449,140,622.04
  5. Step 5: Solve for x
    x = 110,449,140,622.04/414,522.86
  6. Step 6: Final answer
    x = 266,448.85

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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.