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Finding the Fourth Proportional to 309,824.84, 464,640.06 and 99,416

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Solution

The fourth proportional to 309,824.84, 464,640.06 and 99,416 is: 149,092.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,824.84 : 464,640.06 = 99,416 : x
  2. Step 2: Convert to fraction form
    309,824.84/464,640.06 = 99,416/x
  3. Step 3: Cross multiply
    309,824.84x = 464,640.06 × 99,416
  4. Step 4: Simplify right side
    309,824.84x = 46,192,656,204.96
  5. Step 5: Solve for x
    x = 46,192,656,204.96/309,824.84
  6. Step 6: Final answer
    x = 149,092.81

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.