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Finding the Fourth Proportional to 270,924.99, 406,034.46 and 150,977.16

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Solution

The fourth proportional to 270,924.99, 406,034.46 and 150,977.16 is: 226,269.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,924.99 : 406,034.46 = 150,977.16 : x
  2. Step 2: Convert to fraction form
    270,924.99/406,034.46 = 150,977.16/x
  3. Step 3: Cross multiply
    270,924.99x = 406,034.46 × 150,977.16
  4. Step 4: Simplify right side
    270,924.99x = 61,301,929,632.93
  5. Step 5: Solve for x
    x = 61,301,929,632.93/270,924.99
  6. Step 6: Final answer
    x = 226,269.01

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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.