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Finding the Fourth Proportional to 506,335.92, 757,200.15 and 378,342.96

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Solution

The fourth proportional to 506,335.92, 757,200.15 and 378,342.96 is: 565,793.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,335.92 : 757,200.15 = 378,342.96 : x
  2. Step 2: Convert to fraction form
    506,335.92/757,200.15 = 378,342.96/x
  3. Step 3: Cross multiply
    506,335.92x = 757,200.15 × 378,342.96
  4. Step 4: Simplify right side
    506,335.92x = 286,481,346,063.44
  5. Step 5: Solve for x
    x = 286,481,346,063.44/506,335.92
  6. Step 6: Final answer
    x = 565,793.05

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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.