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Finding the Fourth Proportional to 296,497.41, 409,166.67 and 160,531.44

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Solution

The fourth proportional to 296,497.41, 409,166.67 and 160,531.44 is: 221,533.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,497.41 : 409,166.67 = 160,531.44 : x
  2. Step 2: Convert to fraction form
    296,497.41/409,166.67 = 160,531.44/x
  3. Step 3: Cross multiply
    296,497.41x = 409,166.67 × 160,531.44
  4. Step 4: Simplify right side
    296,497.41x = 65,684,114,735.10
  5. Step 5: Solve for x
    x = 65,684,114,735.10/296,497.41
  6. Step 6: Final answer
    x = 221,533.52

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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.