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Finding the Fourth Proportional to 491,858.65, 737,899.01 and 150,333.09

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Solution

The fourth proportional to 491,858.65, 737,899.01 and 150,333.09 is: 225,533.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,858.65 : 737,899.01 = 150,333.09 : x
  2. Step 2: Convert to fraction form
    491,858.65/737,899.01 = 150,333.09/x
  3. Step 3: Cross multiply
    491,858.65x = 737,899.01 × 150,333.09
  4. Step 4: Simplify right side
    491,858.65x = 110,930,638,281.24
  5. Step 5: Solve for x
    x = 110,930,638,281.24/491,858.65
  6. Step 6: Final answer
    x = 225,533.57

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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.