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Finding the Fourth Proportional to 297,287.49, 410,254.65 and 161,317.98

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Solution

The fourth proportional to 297,287.49, 410,254.65 and 161,317.98 is: 222,617.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,287.49 : 410,254.65 = 161,317.98 : x
  2. Step 2: Convert to fraction form
    297,287.49/410,254.65 = 161,317.98/x
  3. Step 3: Cross multiply
    297,287.49x = 410,254.65 × 161,317.98
  4. Step 4: Simplify right side
    297,287.49x = 66,181,451,423.61
  5. Step 5: Solve for x
    x = 66,181,451,423.61/297,287.49
  6. Step 6: Final answer
    x = 222,617.68

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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.