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Finding the Fourth Proportional to 296,572.24, 409,271.69 and 160,606.29

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Solution

The fourth proportional to 296,572.24, 409,271.69 and 160,606.29 is: 221,637.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,572.24 : 409,271.69 = 160,606.29 : x
  2. Step 2: Convert to fraction form
    296,572.24/409,271.69 = 160,606.29/x
  3. Step 3: Cross multiply
    296,572.24x = 409,271.69 × 160,606.29
  4. Step 4: Simplify right side
    296,572.24x = 65,731,608,765.80
  5. Step 5: Solve for x
    x = 65,731,608,765.80/296,572.24
  6. Step 6: Final answer
    x = 221,637.77

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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.