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Finding the Fourth Proportional to 502,165.15, 753,297.33 and 165,069.07

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Solution

The fourth proportional to 502,165.15, 753,297.33 and 165,069.07 is: 247,619.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,165.15 : 753,297.33 = 165,069.07 : x
  2. Step 2: Convert to fraction form
    502,165.15/753,297.33 = 165,069.07/x
  3. Step 3: Cross multiply
    502,165.15x = 753,297.33 × 165,069.07
  4. Step 4: Simplify right side
    502,165.15x = 124,346,085,930.10
  5. Step 5: Solve for x
    x = 124,346,085,930.10/502,165.15
  6. Step 6: Final answer
    x = 247,619.91

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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.