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Finding the Fourth Proportional to 299,491.16, 413,294.68 and 163,524.68

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Solution

The fourth proportional to 299,491.16, 413,294.68 and 163,524.68 is: 225,662.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,491.16 : 413,294.68 = 163,524.68 : x
  2. Step 2: Convert to fraction form
    299,491.16/413,294.68 = 163,524.68/x
  3. Step 3: Cross multiply
    299,491.16x = 413,294.68 × 163,524.68
  4. Step 4: Simplify right side
    299,491.16x = 67,583,880,292.70
  5. Step 5: Solve for x
    x = 67,583,880,292.70/299,491.16
  6. Step 6: Final answer
    x = 225,662.35

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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.