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Finding the Fourth Proportional to 414,468.72, 621,550.80 and 148,157.04

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Solution

The fourth proportional to 414,468.72, 621,550.80 and 148,157.04 is: 222,181.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,468.72 : 621,550.80 = 148,157.04 : x
  2. Step 2: Convert to fraction form
    414,468.72/621,550.80 = 148,157.04/x
  3. Step 3: Cross multiply
    414,468.72x = 621,550.80 × 148,157.04
  4. Step 4: Simplify right side
    414,468.72x = 92,087,126,737.63
  5. Step 5: Solve for x
    x = 92,087,126,737.63/414,468.72
  6. Step 6: Final answer
    x = 222,181.13

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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.