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Finding the Fourth Proportional to 463,559.35, 695,631.53 and 197,319.44

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Solution

The fourth proportional to 463,559.35, 695,631.53 and 197,319.44 is: 296,103.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,559.35 : 695,631.53 = 197,319.44 : x
  2. Step 2: Convert to fraction form
    463,559.35/695,631.53 = 197,319.44/x
  3. Step 3: Cross multiply
    463,559.35x = 695,631.53 × 197,319.44
  4. Step 4: Simplify right side
    463,559.35x = 137,261,623,945.94
  5. Step 5: Solve for x
    x = 137,261,623,945.94/463,559.35
  6. Step 6: Final answer
    x = 296,103.67

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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.