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Finding the Fourth Proportional to 313,945.01, 470,917.56 and 92,329.01

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Solution

The fourth proportional to 313,945.01, 470,917.56 and 92,329.01 is: 138,493.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,945.01 : 470,917.56 = 92,329.01 : x
  2. Step 2: Convert to fraction form
    313,945.01/470,917.56 = 92,329.01/x
  3. Step 3: Cross multiply
    313,945.01x = 470,917.56 × 92,329.01
  4. Step 4: Simplify right side
    313,945.01x = 43,479,352,106.42
  5. Step 5: Solve for x
    x = 43,479,352,106.42/313,945.01
  6. Step 6: Final answer
    x = 138,493.53

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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.