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Finding the Fourth Proportional to 290,098.64, 400,233.48 and 189,554.96

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Solution

The fourth proportional to 290,098.64, 400,233.48 and 189,554.96 is: 261,518.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,098.64 : 400,233.48 = 189,554.96 : x
  2. Step 2: Convert to fraction form
    290,098.64/400,233.48 = 189,554.96/x
  3. Step 3: Cross multiply
    290,098.64x = 400,233.48 × 189,554.96
  4. Step 4: Simplify right side
    290,098.64x = 75,866,241,292.06
  5. Step 5: Solve for x
    x = 75,866,241,292.06/290,098.64
  6. Step 6: Final answer
    x = 261,518.78

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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.