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Finding the Fourth Proportional to 296,899.20, 409,713.12 and 160,927.20

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Solution

The fourth proportional to 296,899.20, 409,713.12 and 160,927.20 is: 222,075.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,899.20 : 409,713.12 = 160,927.20 : x
  2. Step 2: Convert to fraction form
    296,899.20/409,713.12 = 160,927.20/x
  3. Step 3: Cross multiply
    296,899.20x = 409,713.12 × 160,927.20
  4. Step 4: Simplify right side
    296,899.20x = 65,933,985,204.86
  5. Step 5: Solve for x
    x = 65,933,985,204.86/296,899.20
  6. Step 6: Final answer
    x = 222,075.32

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.