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Finding the Fourth Proportional to 406,431.14, 560,874.88 and 222,676.24

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Solution

The fourth proportional to 406,431.14, 560,874.88 and 222,676.24 is: 307,293.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,431.14 : 560,874.88 = 222,676.24 : x
  2. Step 2: Convert to fraction form
    406,431.14/560,874.88 = 222,676.24/x
  3. Step 3: Cross multiply
    406,431.14x = 560,874.88 × 222,676.24
  4. Step 4: Simplify right side
    406,431.14x = 124,893,509,388.85
  5. Step 5: Solve for x
    x = 124,893,509,388.85/406,431.14
  6. Step 6: Final answer
    x = 307,293.16

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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.