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Finding the Fourth Proportional to 463,463.70, 649,782.30 and 463,463.70

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Solution

The fourth proportional to 463,463.70, 649,782.30 and 463,463.70 is: 649,782.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,463.70 : 649,782.30 = 463,463.70 : x
  2. Step 2: Convert to fraction form
    463,463.70/649,782.30 = 463,463.70/x
  3. Step 3: Cross multiply
    463,463.70x = 649,782.30 × 463,463.70
  4. Step 4: Simplify right side
    463,463.70x = 301,150,508,952.51
  5. Step 5: Solve for x
    x = 301,150,508,952.51/463,463.70
  6. Step 6: Final answer
    x = 649,782.30

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.