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Finding the Fourth Proportional to 469,544, 704,419.68 and 174,056

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Solution

The fourth proportional to 469,544, 704,419.68 and 174,056 is: 261,122.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,544 : 704,419.68 = 174,056 : x
  2. Step 2: Convert to fraction form
    469,544/704,419.68 = 174,056/x
  3. Step 3: Cross multiply
    469,544x = 704,419.68 × 174,056
  4. Step 4: Simplify right side
    469,544x = 122,608,471,822.08
  5. Step 5: Solve for x
    x = 122,608,471,822.08/469,544
  6. Step 6: Final answer
    x = 261,122.43

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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.