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Finding the Fourth Proportional to 304,767.98, 457,182 and 105,062.08

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Solution

The fourth proportional to 304,767.98, 457,182 and 105,062.08 is: 157,603.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,767.98 : 457,182 = 105,062.08 : x
  2. Step 2: Convert to fraction form
    304,767.98/457,182 = 105,062.08/x
  3. Step 3: Cross multiply
    304,767.98x = 457,182 × 105,062.08
  4. Step 4: Simplify right side
    304,767.98x = 48,032,491,858.56
  5. Step 5: Solve for x
    x = 48,032,491,858.56/304,767.98
  6. Step 6: Final answer
    x = 157,603.47

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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.