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Finding the Fourth Proportional to 470,216.25, 705,232.53 and 150,282.30

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Solution

The fourth proportional to 470,216.25, 705,232.53 and 150,282.30 is: 225,394.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,216.25 : 705,232.53 = 150,282.30 : x
  2. Step 2: Convert to fraction form
    470,216.25/705,232.53 = 150,282.30/x
  3. Step 3: Cross multiply
    470,216.25x = 705,232.53 × 150,282.30
  4. Step 4: Simplify right side
    470,216.25x = 105,983,965,255.84
  5. Step 5: Solve for x
    x = 105,983,965,255.84/470,216.25
  6. Step 6: Final answer
    x = 225,394.09

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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.