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Finding the Fourth Proportional to 349,066, 523,599 and 86,410

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Solution

The fourth proportional to 349,066, 523,599 and 86,410 is: 129,615

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,066 : 523,599 = 86,410 : x
  2. Step 2: Convert to fraction form
    349,066/523,599 = 86,410/x
  3. Step 3: Cross multiply
    349,066x = 523,599 × 86,410
  4. Step 4: Simplify right side
    349,066x = 45,244,189,590
  5. Step 5: Solve for x
    x = 45,244,189,590/349,066
  6. Step 6: Final answer
    x = 129,615

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.