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Finding the Fourth Proportional to 445,063.34, 614,188.05 and 263,864

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Solution

The fourth proportional to 445,063.34, 614,188.05 and 263,864 is: 364,132.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,063.34 : 614,188.05 = 263,864 : x
  2. Step 2: Convert to fraction form
    445,063.34/614,188.05 = 263,864/x
  3. Step 3: Cross multiply
    445,063.34x = 614,188.05 × 263,864
  4. Step 4: Simplify right side
    445,063.34x = 162,062,115,625.20
  5. Step 5: Solve for x
    x = 162,062,115,625.20/445,063.34
  6. Step 6: Final answer
    x = 364,132.70

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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.