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Finding the Fourth Proportional to 406,533.96, 560,997.96 and 222,771.44

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Solution

The fourth proportional to 406,533.96, 560,997.96 and 222,771.44 is: 307,414.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,533.96 : 560,997.96 = 222,771.44 : x
  2. Step 2: Convert to fraction form
    406,533.96/560,997.96 = 222,771.44/x
  3. Step 3: Cross multiply
    406,533.96x = 560,997.96 × 222,771.44
  4. Step 4: Simplify right side
    406,533.96x = 124,974,323,386.26
  5. Step 5: Solve for x
    x = 124,974,323,386.26/406,533.96
  6. Step 6: Final answer
    x = 307,414.23

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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.