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Finding the Fourth Proportional to 470,260, 705,416.73 and 150,439.96

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Solution

The fourth proportional to 470,260, 705,416.73 and 150,439.96 is: 225,668.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,260 : 705,416.73 = 150,439.96 : x
  2. Step 2: Convert to fraction form
    470,260/705,416.73 = 150,439.96/x
  3. Step 3: Cross multiply
    470,260x = 705,416.73 × 150,439.96
  4. Step 4: Simplify right side
    470,260x = 106,122,864,644.53
  5. Step 5: Solve for x
    x = 106,122,864,644.53/470,260
  6. Step 6: Final answer
    x = 225,668.49

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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.