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Finding the Fourth Proportional to 313,402.80, 470,147.40 and 113,674.80

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Solution

The fourth proportional to 313,402.80, 470,147.40 and 113,674.80 is: 170,527.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,402.80 : 470,147.40 = 113,674.80 : x
  2. Step 2: Convert to fraction form
    313,402.80/470,147.40 = 113,674.80/x
  3. Step 3: Cross multiply
    313,402.80x = 470,147.40 × 113,674.80
  4. Step 4: Simplify right side
    313,402.80x = 53,443,911,665.52
  5. Step 5: Solve for x
    x = 53,443,911,665.52/313,402.80
  6. Step 6: Final answer
    x = 170,527.87

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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.