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Finding the Fourth Proportional to 309,364.44, 463,971.02 and 98,958.84

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Solution

The fourth proportional to 309,364.44, 463,971.02 and 98,958.84 is: 148,414.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,364.44 : 463,971.02 = 98,958.84 : x
  2. Step 2: Convert to fraction form
    309,364.44/463,971.02 = 98,958.84/x
  3. Step 3: Cross multiply
    309,364.44x = 463,971.02 × 98,958.84
  4. Step 4: Simplify right side
    309,364.44x = 45,914,033,932.82
  5. Step 5: Solve for x
    x = 45,914,033,932.82/309,364.44
  6. Step 6: Final answer
    x = 148,414.06

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1.5x scale

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.