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Finding the Fourth Proportional to 463,706.17, 695,593.07 and 143,817.42

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Solution

The fourth proportional to 463,706.17, 695,593.07 and 143,817.42 is: 215,736.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,706.17 : 695,593.07 = 143,817.42 : x
  2. Step 2: Convert to fraction form
    463,706.17/695,593.07 = 143,817.42/x
  3. Step 3: Cross multiply
    463,706.17x = 695,593.07 × 143,817.42
  4. Step 4: Simplify right side
    463,706.17x = 100,038,403,125.98
  5. Step 5: Solve for x
    x = 100,038,403,125.98/463,706.17
  6. Step 6: Final answer
    x = 215,736.62

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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.