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Finding the Fourth Proportional to 313,388.60, 470,082.90 and 307,167.80

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Solution

The fourth proportional to 313,388.60, 470,082.90 and 307,167.80 is: 460,751.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,388.60 : 470,082.90 = 307,167.80 : x
  2. Step 2: Convert to fraction form
    313,388.60/470,082.90 = 307,167.80/x
  3. Step 3: Cross multiply
    313,388.60x = 470,082.90 × 307,167.80
  4. Step 4: Simplify right side
    313,388.60x = 144,394,330,210.62
  5. Step 5: Solve for x
    x = 144,394,330,210.62/313,388.60
  6. Step 6: Final answer
    x = 460,751.70

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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.