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Finding the Fourth Proportional to 523,226, 784,846.38 and 149,249

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Solution

The fourth proportional to 523,226, 784,846.38 and 149,249 is: 223,875.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,226 : 784,846.38 = 149,249 : x
  2. Step 2: Convert to fraction form
    523,226/784,846.38 = 149,249/x
  3. Step 3: Cross multiply
    523,226x = 784,846.38 × 149,249
  4. Step 4: Simplify right side
    523,226x = 117,137,537,368.62
  5. Step 5: Solve for x
    x = 117,137,537,368.62/523,226
  6. Step 6: Final answer
    x = 223,875.61

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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.