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Finding the Fourth Proportional to 309,244.16, 463,858.92 and 98,883.92

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Solution

The fourth proportional to 309,244.16, 463,858.92 and 98,883.92 is: 148,323.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,244.16 : 463,858.92 = 98,883.92 : x
  2. Step 2: Convert to fraction form
    309,244.16/463,858.92 = 98,883.92/x
  3. Step 3: Cross multiply
    309,244.16x = 463,858.92 × 98,883.92
  4. Step 4: Simplify right side
    309,244.16x = 45,868,188,336.57
  5. Step 5: Solve for x
    x = 45,868,188,336.57/309,244.16
  6. Step 6: Final answer
    x = 148,323.54

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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.