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Finding the Fourth Proportional to 296,796.08, 409,577.64 and 160,830.56

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Solution

The fourth proportional to 296,796.08, 409,577.64 and 160,830.56 is: 221,945.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,796.08 : 409,577.64 = 160,830.56 : x
  2. Step 2: Convert to fraction form
    296,796.08/409,577.64 = 160,830.56/x
  3. Step 3: Cross multiply
    296,796.08x = 409,577.64 × 160,830.56
  4. Step 4: Simplify right side
    296,796.08x = 65,872,601,204.68
  5. Step 5: Solve for x
    x = 65,872,601,204.68/296,796.08
  6. Step 6: Final answer
    x = 221,945.66

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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.