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Finding the Fourth Proportional to 502,725.86, 693,756.76 and 273,269.50

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Solution

The fourth proportional to 502,725.86, 693,756.76 and 273,269.50 is: 377,109.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,725.86 : 693,756.76 = 273,269.50 : x
  2. Step 2: Convert to fraction form
    502,725.86/693,756.76 = 273,269.50/x
  3. Step 3: Cross multiply
    502,725.86x = 693,756.76 × 273,269.50
  4. Step 4: Simplify right side
    502,725.86x = 189,582,562,926.82
  5. Step 5: Solve for x
    x = 189,582,562,926.82/502,725.86
  6. Step 6: Final answer
    x = 377,109.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.