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Finding the Fourth Proportional to 406,593.36, 561,098.88 and 227,745.36

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Solution

The fourth proportional to 406,593.36, 561,098.88 and 227,745.36 is: 314,288.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,593.36 : 561,098.88 = 227,745.36 : x
  2. Step 2: Convert to fraction form
    406,593.36/561,098.88 = 227,745.36/x
  3. Step 3: Cross multiply
    406,593.36x = 561,098.88 × 227,745.36
  4. Step 4: Simplify right side
    406,593.36x = 127,787,666,421.20
  5. Step 5: Solve for x
    x = 127,787,666,421.20/406,593.36
  6. Step 6: Final answer
    x = 314,288.62

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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.