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Finding the Fourth Proportional to 309,813.68, 464,767.42 and 110,086.58

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Solution

The fourth proportional to 309,813.68, 464,767.42 and 110,086.58 is: 165,146.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,813.68 : 464,767.42 = 110,086.58 : x
  2. Step 2: Convert to fraction form
    309,813.68/464,767.42 = 110,086.58/x
  3. Step 3: Cross multiply
    309,813.68x = 464,767.42 × 110,086.58
  4. Step 4: Simplify right side
    309,813.68x = 51,164,655,763.22
  5. Step 5: Solve for x
    x = 51,164,655,763.22/309,813.68
  6. Step 6: Final answer
    x = 165,146.54

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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.