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Finding the Fourth Proportional to 502,177.68, 753,266.52 and 186,714

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Solution

The fourth proportional to 502,177.68, 753,266.52 and 186,714 is: 280,071

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,177.68 : 753,266.52 = 186,714 : x
  2. Step 2: Convert to fraction form
    502,177.68/753,266.52 = 186,714/x
  3. Step 3: Cross multiply
    502,177.68x = 753,266.52 × 186,714
  4. Step 4: Simplify right side
    502,177.68x = 140,645,405,015.28
  5. Step 5: Solve for x
    x = 140,645,405,015.28/502,177.68
  6. Step 6: Final answer
    x = 280,071

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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.