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Finding the Fourth Proportional to 295,831, 443,746.50 and 98,839

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Solution

The fourth proportional to 295,831, 443,746.50 and 98,839 is: 148,258.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,831 : 443,746.50 = 98,839 : x
  2. Step 2: Convert to fraction form
    295,831/443,746.50 = 98,839/x
  3. Step 3: Cross multiply
    295,831x = 443,746.50 × 98,839
  4. Step 4: Simplify right side
    295,831x = 43,859,460,313.50
  5. Step 5: Solve for x
    x = 43,859,460,313.50/295,831
  6. Step 6: Final answer
    x = 148,258.50

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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.