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Finding the Fourth Proportional to 463,460.40, 695,190.60 and 321,742.80

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Solution

The fourth proportional to 463,460.40, 695,190.60 and 321,742.80 is: 482,614.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,460.40 : 695,190.60 = 321,742.80 : x
  2. Step 2: Convert to fraction form
    463,460.40/695,190.60 = 321,742.80/x
  3. Step 3: Cross multiply
    463,460.40x = 695,190.60 × 321,742.80
  4. Step 4: Simplify right side
    463,460.40x = 223,672,570,177.68
  5. Step 5: Solve for x
    x = 223,672,570,177.68/463,460.40
  6. Step 6: Final answer
    x = 482,614.20

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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.