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Finding the Fourth Proportional to 417,267.84, 625,625.25 and 150,993.72

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Solution

The fourth proportional to 417,267.84, 625,625.25 and 150,993.72 is: 226,390.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,267.84 : 625,625.25 = 150,993.72 : x
  2. Step 2: Convert to fraction form
    417,267.84/625,625.25 = 150,993.72/x
  3. Step 3: Cross multiply
    417,267.84x = 625,625.25 × 150,993.72
  4. Step 4: Simplify right side
    417,267.84x = 94,465,483,823.43
  5. Step 5: Solve for x
    x = 94,465,483,823.43/417,267.84
  6. Step 6: Final answer
    x = 226,390.52

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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.