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Finding the Fourth Proportional to 304,890.52, 457,616.51 and 155,237.75

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Solution

The fourth proportional to 304,890.52, 457,616.51 and 155,237.75 is: 232,999.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,890.52 : 457,616.51 = 155,237.75 : x
  2. Step 2: Convert to fraction form
    304,890.52/457,616.51 = 155,237.75/x
  3. Step 3: Cross multiply
    304,890.52x = 457,616.51 × 155,237.75
  4. Step 4: Simplify right side
    304,890.52x = 71,039,357,375.25
  5. Step 5: Solve for x
    x = 71,039,357,375.25/304,890.52
  6. Step 6: Final answer
    x = 232,999.56

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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.