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Finding the Fourth Proportional to 313,465.20, 470,399.40 and 173,324.40

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Solution

The fourth proportional to 313,465.20, 470,399.40 and 173,324.40 is: 260,098.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,465.20 : 470,399.40 = 173,324.40 : x
  2. Step 2: Convert to fraction form
    313,465.20/470,399.40 = 173,324.40/x
  3. Step 3: Cross multiply
    313,465.20x = 470,399.40 × 173,324.40
  4. Step 4: Simplify right side
    313,465.20x = 81,531,693,765.36
  5. Step 5: Solve for x
    x = 81,531,693,765.36/313,465.20
  6. Step 6: Final answer
    x = 260,098.07

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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.