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Finding the Fourth Proportional to 406,429.52, 560,872.64 and 222,674.61

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Solution

The fourth proportional to 406,429.52, 560,872.64 and 222,674.61 is: 307,290.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,429.52 : 560,872.64 = 222,674.61 : x
  2. Step 2: Convert to fraction form
    406,429.52/560,872.64 = 222,674.61/x
  3. Step 3: Cross multiply
    406,429.52x = 560,872.64 × 222,674.61
  4. Step 4: Simplify right side
    406,429.52x = 124,892,095,258.30
  5. Step 5: Solve for x
    x = 124,892,095,258.30/406,429.52
  6. Step 6: Final answer
    x = 307,290.91

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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.