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Finding the Fourth Proportional to 406,243.62, 560,614.77 and 227,395.62

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Solution

The fourth proportional to 406,243.62, 560,614.77 and 227,395.62 is: 313,805.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,243.62 : 560,614.77 = 227,395.62 : x
  2. Step 2: Convert to fraction form
    406,243.62/560,614.77 = 227,395.62/x
  3. Step 3: Cross multiply
    406,243.62x = 560,614.77 × 227,395.62
  4. Step 4: Simplify right side
    406,243.62x = 127,481,343,205.31
  5. Step 5: Solve for x
    x = 127,481,343,205.31/406,243.62
  6. Step 6: Final answer
    x = 313,805.16

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.