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Finding the Fourth Proportional to 296,642.34, 409,395.78 and 169,337.10

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Solution

The fourth proportional to 296,642.34, 409,395.78 and 169,337.10 is: 233,701.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,642.34 : 409,395.78 = 169,337.10 : x
  2. Step 2: Convert to fraction form
    296,642.34/409,395.78 = 169,337.10/x
  3. Step 3: Cross multiply
    296,642.34x = 409,395.78 × 169,337.10
  4. Step 4: Simplify right side
    296,642.34x = 69,325,894,137.44
  5. Step 5: Solve for x
    x = 69,325,894,137.44/296,642.34
  6. Step 6: Final answer
    x = 233,701.95

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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.