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Finding the Fourth Proportional to 463,325.10, 695,246.85 and 197,040.30

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Solution

The fourth proportional to 463,325.10, 695,246.85 and 197,040.30 is: 295,670.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,325.10 : 695,246.85 = 197,040.30 : x
  2. Step 2: Convert to fraction form
    463,325.10/695,246.85 = 197,040.30/x
  3. Step 3: Cross multiply
    463,325.10x = 695,246.85 × 197,040.30
  4. Step 4: Simplify right side
    463,325.10x = 136,991,647,898.06
  5. Step 5: Solve for x
    x = 136,991,647,898.06/463,325.10
  6. Step 6: Final answer
    x = 295,670.68

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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.