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Finding the Fourth Proportional to 296,481.06, 409,140.88 and 160,511.40

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Solution

The fourth proportional to 296,481.06, 409,140.88 and 160,511.40 is: 221,504.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,481.06 : 409,140.88 = 160,511.40 : x
  2. Step 2: Convert to fraction form
    296,481.06/409,140.88 = 160,511.40/x
  3. Step 3: Cross multiply
    296,481.06x = 409,140.88 × 160,511.40
  4. Step 4: Simplify right side
    296,481.06x = 65,671,775,446.03
  5. Step 5: Solve for x
    x = 65,671,775,446.03/296,481.06
  6. Step 6: Final answer
    x = 221,504.12

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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.