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Finding the Fourth Proportional to 304,535.59, 420,249.61 and 175,474.33

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Solution

The fourth proportional to 304,535.59, 420,249.61 and 175,474.33 is: 242,149.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,535.59 : 420,249.61 = 175,474.33 : x
  2. Step 2: Convert to fraction form
    304,535.59/420,249.61 = 175,474.33/x
  3. Step 3: Cross multiply
    304,535.59x = 420,249.61 × 175,474.33
  4. Step 4: Simplify right side
    304,535.59x = 73,743,018,747.51
  5. Step 5: Solve for x
    x = 73,743,018,747.51/304,535.59
  6. Step 6: Final answer
    x = 242,149.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.