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Finding the Fourth Proportional to 297,427.52, 410,453.16 and 161,462.72

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Solution

The fourth proportional to 297,427.52, 410,453.16 and 161,462.72 is: 222,820.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,427.52 : 410,453.16 = 161,462.72 : x
  2. Step 2: Convert to fraction form
    297,427.52/410,453.16 = 161,462.72/x
  3. Step 3: Cross multiply
    297,427.52x = 410,453.16 × 161,462.72
  4. Step 4: Simplify right side
    297,427.52x = 66,272,883,646.20
  5. Step 5: Solve for x
    x = 66,272,883,646.20/297,427.52
  6. Step 6: Final answer
    x = 222,820.28

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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.