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Finding the Fourth Proportional to 414,607.12, 621,908.63 and 161,913.27

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Solution

The fourth proportional to 414,607.12, 621,908.63 and 161,913.27 is: 242,869.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,607.12 : 621,908.63 = 161,913.27 : x
  2. Step 2: Convert to fraction form
    414,607.12/621,908.63 = 161,913.27/x
  3. Step 3: Cross multiply
    414,607.12x = 621,908.63 × 161,913.27
  4. Step 4: Simplify right side
    414,607.12x = 100,695,259,924.52
  5. Step 5: Solve for x
    x = 100,695,259,924.52/414,607.12
  6. Step 6: Final answer
    x = 242,869.10

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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.