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Finding the Fourth Proportional to 463,131.80, 694,697.70 and 313,443.80

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Solution

The fourth proportional to 463,131.80, 694,697.70 and 313,443.80 is: 470,165.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,131.80 : 694,697.70 = 313,443.80 : x
  2. Step 2: Convert to fraction form
    463,131.80/694,697.70 = 313,443.80/x
  3. Step 3: Cross multiply
    463,131.80x = 694,697.70 × 313,443.80
  4. Step 4: Simplify right side
    463,131.80x = 217,748,686,939.26
  5. Step 5: Solve for x
    x = 217,748,686,939.26/463,131.80
  6. Step 6: Final answer
    x = 470,165.70

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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.