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Finding the Fourth Proportional to 417,198.36, 625,426.35 and 150,899.64

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Solution

The fourth proportional to 417,198.36, 625,426.35 and 150,899.64 is: 226,215.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,198.36 : 625,426.35 = 150,899.64 : x
  2. Step 2: Convert to fraction form
    417,198.36/625,426.35 = 150,899.64/x
  3. Step 3: Cross multiply
    417,198.36x = 625,426.35 × 150,899.64
  4. Step 4: Simplify right side
    417,198.36x = 94,376,611,061.51
  5. Step 5: Solve for x
    x = 94,376,611,061.51/417,198.36
  6. Step 6: Final answer
    x = 226,215.20

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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.