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Finding the Fourth Proportional to 502,568.40, 753,963.74 and 165,595.44

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Solution

The fourth proportional to 502,568.40, 753,963.74 and 165,595.44 is: 248,429.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,568.40 : 753,963.74 = 165,595.44 : x
  2. Step 2: Convert to fraction form
    502,568.40/753,963.74 = 165,595.44/x
  3. Step 3: Cross multiply
    502,568.40x = 753,963.74 × 165,595.44
  4. Step 4: Simplify right side
    502,568.40x = 124,852,957,269.35
  5. Step 5: Solve for x
    x = 124,852,957,269.35/502,568.40
  6. Step 6: Final answer
    x = 248,429.78

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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.