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Finding the Fourth Proportional to 290,393.75, 400,569.63 and 182,776.95

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Solution

The fourth proportional to 290,393.75, 400,569.63 and 182,776.95 is: 252,122.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,393.75 : 400,569.63 = 182,776.95 : x
  2. Step 2: Convert to fraction form
    290,393.75/400,569.63 = 182,776.95/x
  3. Step 3: Cross multiply
    290,393.75x = 400,569.63 × 182,776.95
  4. Step 4: Simplify right side
    290,393.75x = 73,214,895,234.03
  5. Step 5: Solve for x
    x = 73,214,895,234.03/290,393.75
  6. Step 6: Final answer
    x = 252,122.83

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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.