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Finding the Fourth Proportional to 296,468.67, 409,123.83 and 160,499.02

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Solution

The fourth proportional to 296,468.67, 409,123.83 and 160,499.02 is: 221,487.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,468.67 : 409,123.83 = 160,499.02 : x
  2. Step 2: Convert to fraction form
    296,468.67/409,123.83 = 160,499.02/x
  3. Step 3: Cross multiply
    296,468.67x = 409,123.83 × 160,499.02
  4. Step 4: Simplify right side
    296,468.67x = 65,663,973,773.65
  5. Step 5: Solve for x
    x = 65,663,973,773.65/296,468.67
  6. Step 6: Final answer
    x = 221,487.06

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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.