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Finding the Fourth Proportional to 436,105.84, 653,491 and 293,422.56

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Solution

The fourth proportional to 436,105.84, 653,491 and 293,422.56 is: 439,684.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,105.84 : 653,491 = 293,422.56 : x
  2. Step 2: Convert to fraction form
    436,105.84/653,491 = 293,422.56/x
  3. Step 3: Cross multiply
    436,105.84x = 653,491 × 293,422.56
  4. Step 4: Simplify right side
    436,105.84x = 191,749,002,156.96
  5. Step 5: Solve for x
    x = 191,749,002,156.96/436,105.84
  6. Step 6: Final answer
    x = 439,684.55

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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.