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Finding the Fourth Proportional to 296,580.23, 409,280.11 and 160,614.14

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Solution

The fourth proportional to 296,580.23, 409,280.11 and 160,614.14 is: 221,647.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,580.23 : 409,280.11 = 160,614.14 : x
  2. Step 2: Convert to fraction form
    296,580.23/409,280.11 = 160,614.14/x
  3. Step 3: Cross multiply
    296,580.23x = 409,280.11 × 160,614.14
  4. Step 4: Simplify right side
    296,580.23x = 65,736,172,741.02
  5. Step 5: Solve for x
    x = 65,736,172,741.02/296,580.23
  6. Step 6: Final answer
    x = 221,647.18

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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.