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Finding the Fourth Proportional to 524,244, 786,366 and 174,036

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Solution

The fourth proportional to 524,244, 786,366 and 174,036 is: 261,054

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,244 : 786,366 = 174,036 : x
  2. Step 2: Convert to fraction form
    524,244/786,366 = 174,036/x
  3. Step 3: Cross multiply
    524,244x = 786,366 × 174,036
  4. Step 4: Simplify right side
    524,244x = 136,855,993,176
  5. Step 5: Solve for x
    x = 136,855,993,176/524,244
  6. Step 6: Final answer
    x = 261,054

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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.