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Finding the Fourth Proportional to 297,515.61, 410,569.29 and 161,546.94

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Solution

The fourth proportional to 297,515.61, 410,569.29 and 161,546.94 is: 222,933.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,515.61 : 410,569.29 = 161,546.94 : x
  2. Step 2: Convert to fraction form
    297,515.61/410,569.29 = 161,546.94/x
  3. Step 3: Cross multiply
    297,515.61x = 410,569.29 × 161,546.94
  4. Step 4: Simplify right side
    297,515.61x = 66,326,212,457.47
  5. Step 5: Solve for x
    x = 66,326,212,457.47/297,515.61
  6. Step 6: Final answer
    x = 222,933.55

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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.