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Finding the Fourth Proportional to 473,772.42, 653,748.66 and 269,823.78

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Solution

The fourth proportional to 473,772.42, 653,748.66 and 269,823.78 is: 372,324.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,772.42 : 653,748.66 = 269,823.78 : x
  2. Step 2: Convert to fraction form
    473,772.42/653,748.66 = 269,823.78/x
  3. Step 3: Cross multiply
    473,772.42x = 653,748.66 × 269,823.78
  4. Step 4: Simplify right side
    473,772.42x = 176,396,934,611.14
  5. Step 5: Solve for x
    x = 176,396,934,611.14/473,772.42
  6. Step 6: Final answer
    x = 372,324.19

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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.