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Finding the Fourth Proportional to 414,903.20, 622,124.40 and 165,303.20

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Solution

The fourth proportional to 414,903.20, 622,124.40 and 165,303.20 is: 247,863.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,903.20 : 622,124.40 = 165,303.20 : x
  2. Step 2: Convert to fraction form
    414,903.20/622,124.40 = 165,303.20/x
  3. Step 3: Cross multiply
    414,903.20x = 622,124.40 × 165,303.20
  4. Step 4: Simplify right side
    414,903.20x = 102,839,154,118.08
  5. Step 5: Solve for x
    x = 102,839,154,118.08/414,903.20
  6. Step 6: Final answer
    x = 247,863.01

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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.