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Finding the Fourth Proportional to 357,864, 536,799.24 and 108,546

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Solution

The fourth proportional to 357,864, 536,799.24 and 108,546 is: 162,819.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,864 : 536,799.24 = 108,546 : x
  2. Step 2: Convert to fraction form
    357,864/536,799.24 = 108,546/x
  3. Step 3: Cross multiply
    357,864x = 536,799.24 × 108,546
  4. Step 4: Simplify right side
    357,864x = 58,267,410,305.04
  5. Step 5: Solve for x
    x = 58,267,410,305.04/357,864
  6. Step 6: Final answer
    x = 162,819.98

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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.