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Finding the Fourth Proportional to 502,543.82, 753,482.46 and 182,657.70

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Solution

The fourth proportional to 502,543.82, 753,482.46 and 182,657.70 is: 273,865.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,543.82 : 753,482.46 = 182,657.70 : x
  2. Step 2: Convert to fraction form
    502,543.82/753,482.46 = 182,657.70/x
  3. Step 3: Cross multiply
    502,543.82x = 753,482.46 × 182,657.70
  4. Step 4: Simplify right side
    502,543.82x = 137,629,373,133.94
  5. Step 5: Solve for x
    x = 137,629,373,133.94/502,543.82
  6. Step 6: Final answer
    x = 273,865.42

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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.