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Finding the Fourth Proportional to 502,175.68, 753,269.64 and 147,196.88

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Solution

The fourth proportional to 502,175.68, 753,269.64 and 147,196.88 is: 220,797.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,175.68 : 753,269.64 = 147,196.88 : x
  2. Step 2: Convert to fraction form
    502,175.68/753,269.64 = 147,196.88/x
  3. Step 3: Cross multiply
    502,175.68x = 753,269.64 × 147,196.88
  4. Step 4: Simplify right side
    502,175.68x = 110,878,940,806.72
  5. Step 5: Solve for x
    x = 110,878,940,806.72/502,175.68
  6. Step 6: Final answer
    x = 220,797.11

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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.