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Finding the Fourth Proportional to 309,257.13, 463,958.34 and 96,014.10

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Solution

The fourth proportional to 309,257.13, 463,958.34 and 96,014.10 is: 144,043.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,257.13 : 463,958.34 = 96,014.10 : x
  2. Step 2: Convert to fraction form
    309,257.13/463,958.34 = 96,014.10/x
  3. Step 3: Cross multiply
    309,257.13x = 463,958.34 × 96,014.10
  4. Step 4: Simplify right side
    309,257.13x = 44,546,542,452.59
  5. Step 5: Solve for x
    x = 44,546,542,452.59/309,257.13
  6. Step 6: Final answer
    x = 144,043.70

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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.