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Finding the Fourth Proportional to 299,746.32, 413,834.40 and 192,505.35

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Solution

The fourth proportional to 299,746.32, 413,834.40 and 192,505.35 is: 265,775.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,746.32 : 413,834.40 = 192,505.35 : x
  2. Step 2: Convert to fraction form
    299,746.32/413,834.40 = 192,505.35/x
  3. Step 3: Cross multiply
    299,746.32x = 413,834.40 × 192,505.35
  4. Step 4: Simplify right side
    299,746.32x = 79,665,336,014.04
  5. Step 5: Solve for x
    x = 79,665,336,014.04/299,746.32
  6. Step 6: Final answer
    x = 265,775.86

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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.