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Finding the Fourth Proportional to 270,923.99, 406,032.96 and 150,976.16

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Solution

The fourth proportional to 270,923.99, 406,032.96 and 150,976.16 is: 226,267.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,923.99 : 406,032.96 = 150,976.16 : x
  2. Step 2: Convert to fraction form
    270,923.99/406,032.96 = 150,976.16/x
  3. Step 3: Cross multiply
    270,923.99x = 406,032.96 × 150,976.16
  4. Step 4: Simplify right side
    270,923.99x = 61,301,297,134.23
  5. Step 5: Solve for x
    x = 61,301,297,134.23/270,923.99
  6. Step 6: Final answer
    x = 226,267.51

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1.5x scale

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.