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Finding the Fourth Proportional to 463,222.08, 695,165.40 and 197,169.48

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Solution

The fourth proportional to 463,222.08, 695,165.40 and 197,169.48 is: 295,895.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,222.08 : 695,165.40 = 197,169.48 : x
  2. Step 2: Convert to fraction form
    463,222.08/695,165.40 = 197,169.48/x
  3. Step 3: Cross multiply
    463,222.08x = 695,165.40 × 197,169.48
  4. Step 4: Simplify right side
    463,222.08x = 137,065,400,431.99
  5. Step 5: Solve for x
    x = 137,065,400,431.99/463,222.08
  6. Step 6: Final answer
    x = 295,895.65

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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.