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Finding the Fourth Proportional to 463,396.48, 695,149.44 and 147,742.72

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Solution

The fourth proportional to 463,396.48, 695,149.44 and 147,742.72 is: 221,631.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,396.48 : 695,149.44 = 147,742.72 : x
  2. Step 2: Convert to fraction form
    463,396.48/695,149.44 = 147,742.72/x
  3. Step 3: Cross multiply
    463,396.48x = 695,149.44 × 147,742.72
  4. Step 4: Simplify right side
    463,396.48x = 102,703,269,072.08
  5. Step 5: Solve for x
    x = 102,703,269,072.08/463,396.48
  6. Step 6: Final answer
    x = 221,631.53

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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.