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Finding the Fourth Proportional to 348,770.48, 523,524.36 and 161,962.16

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Solution

The fourth proportional to 348,770.48, 523,524.36 and 161,962.16 is: 243,114.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,770.48 : 523,524.36 = 161,962.16 : x
  2. Step 2: Convert to fraction form
    348,770.48/523,524.36 = 161,962.16/x
  3. Step 3: Cross multiply
    348,770.48x = 523,524.36 × 161,962.16
  4. Step 4: Simplify right side
    348,770.48x = 84,791,136,158.22
  5. Step 5: Solve for x
    x = 84,791,136,158.22/348,770.48
  6. Step 6: Final answer
    x = 243,114.43

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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.