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Finding the Fourth Proportional to 361,228, 541,842 and 98,572

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Solution

The fourth proportional to 361,228, 541,842 and 98,572 is: 147,858

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,228 : 541,842 = 98,572 : x
  2. Step 2: Convert to fraction form
    361,228/541,842 = 98,572/x
  3. Step 3: Cross multiply
    361,228x = 541,842 × 98,572
  4. Step 4: Simplify right side
    361,228x = 53,410,449,624
  5. Step 5: Solve for x
    x = 53,410,449,624/361,228
  6. Step 6: Final answer
    x = 147,858

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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.