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Finding the Fourth Proportional to 296,520.40, 409,298.03 and 180,233.52

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Solution

The fourth proportional to 296,520.40, 409,298.03 and 180,233.52 is: 248,782.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,520.40 : 409,298.03 = 180,233.52 : x
  2. Step 2: Convert to fraction form
    296,520.40/409,298.03 = 180,233.52/x
  3. Step 3: Cross multiply
    296,520.40x = 409,298.03 × 180,233.52
  4. Step 4: Simplify right side
    296,520.40x = 73,769,224,675.97
  5. Step 5: Solve for x
    x = 73,769,224,675.97/296,520.40
  6. Step 6: Final answer
    x = 248,782.97

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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.