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Finding the Fourth Proportional to 296,535.23, 409,216.76 and 160,566.30

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Solution

The fourth proportional to 296,535.23, 409,216.76 and 160,566.30 is: 221,580.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,535.23 : 409,216.76 = 160,566.30 : x
  2. Step 2: Convert to fraction form
    296,535.23/409,216.76 = 160,566.30/x
  3. Step 3: Cross multiply
    296,535.23x = 409,216.76 × 160,566.30
  4. Step 4: Simplify right side
    296,535.23x = 65,706,420,850.48
  5. Step 5: Solve for x
    x = 65,706,420,850.48/296,535.23
  6. Step 6: Final answer
    x = 221,580.49

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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.