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Finding the Fourth Proportional to 295,828, 443,742 and 98,836

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Solution

The fourth proportional to 295,828, 443,742 and 98,836 is: 148,254

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,828 : 443,742 = 98,836 : x
  2. Step 2: Convert to fraction form
    295,828/443,742 = 98,836/x
  3. Step 3: Cross multiply
    295,828x = 443,742 × 98,836
  4. Step 4: Simplify right side
    295,828x = 43,857,684,312
  5. Step 5: Solve for x
    x = 43,857,684,312/295,828
  6. Step 6: Final answer
    x = 148,254

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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.