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Finding the Fourth Proportional to 503,555.34, 755,056.92 and 199,641.62

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Solution

The fourth proportional to 503,555.34, 755,056.92 and 199,641.62 is: 299,352.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,555.34 : 755,056.92 = 199,641.62 : x
  2. Step 2: Convert to fraction form
    503,555.34/755,056.92 = 199,641.62/x
  3. Step 3: Cross multiply
    503,555.34x = 755,056.92 × 199,641.62
  4. Step 4: Simplify right side
    503,555.34x = 150,740,786,701.01
  5. Step 5: Solve for x
    x = 150,740,786,701.01/503,555.34
  6. Step 6: Final answer
    x = 299,352.97

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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.