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Finding the Fourth Proportional to 463,407.66, 693,919.98 and 321,050.16

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Solution

The fourth proportional to 463,407.66, 693,919.98 and 321,050.16 is: 480,749.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,407.66 : 693,919.98 = 321,050.16 : x
  2. Step 2: Convert to fraction form
    463,407.66/693,919.98 = 321,050.16/x
  3. Step 3: Cross multiply
    463,407.66x = 693,919.98 × 321,050.16
  4. Step 4: Simplify right side
    463,407.66x = 222,783,120,606.20
  5. Step 5: Solve for x
    x = 222,783,120,606.20/463,407.66
  6. Step 6: Final answer
    x = 480,749.76

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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.