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Finding the Fourth Proportional to 463,642.40, 695,204.40 and 197,357.60

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Solution

The fourth proportional to 463,642.40, 695,204.40 and 197,357.60 is: 295,926.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,642.40 : 695,204.40 = 197,357.60 : x
  2. Step 2: Convert to fraction form
    463,642.40/695,204.40 = 197,357.60/x
  3. Step 3: Cross multiply
    463,642.40x = 695,204.40 × 197,357.60
  4. Step 4: Simplify right side
    463,642.40x = 137,203,871,893.44
  5. Step 5: Solve for x
    x = 137,203,871,893.44/463,642.40
  6. Step 6: Final answer
    x = 295,926.07

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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.