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Finding the Fourth Proportional to 469,737.84, 704,694.53 and 213,589.22

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Solution

The fourth proportional to 469,737.84, 704,694.53 and 213,589.22 is: 320,423.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,737.84 : 704,694.53 = 213,589.22 : x
  2. Step 2: Convert to fraction form
    469,737.84/704,694.53 = 213,589.22/x
  3. Step 3: Cross multiply
    469,737.84x = 704,694.53 × 213,589.22
  4. Step 4: Simplify right side
    469,737.84x = 150,515,152,491.62
  5. Step 5: Solve for x
    x = 150,515,152,491.62/469,737.84
  6. Step 6: Final answer
    x = 320,423.74

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Why These Related Problems?

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