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Finding the Fourth Proportional to 296,431.28, 409,076.15 and 160,465.19

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Solution

The fourth proportional to 296,431.28, 409,076.15 and 160,465.19 is: 221,442.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,431.28 : 409,076.15 = 160,465.19 : x
  2. Step 2: Convert to fraction form
    296,431.28/409,076.15 = 160,465.19/x
  3. Step 3: Cross multiply
    296,431.28x = 409,076.15 × 160,465.19
  4. Step 4: Simplify right side
    296,431.28x = 65,642,481,331.89
  5. Step 5: Solve for x
    x = 65,642,481,331.89/296,431.28
  6. Step 6: Final answer
    x = 221,442.49

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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.