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Finding the Fourth Proportional to 349,057.86, 523,586.97 and 112,419.06

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Solution

The fourth proportional to 349,057.86, 523,586.97 and 112,419.06 is: 168,628.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,057.86 : 523,586.97 = 112,419.06 : x
  2. Step 2: Convert to fraction form
    349,057.86/523,586.97 = 112,419.06/x
  3. Step 3: Cross multiply
    349,057.86x = 523,586.97 × 112,419.06
  4. Step 4: Simplify right side
    349,057.86x = 58,861,154,995.65
  5. Step 5: Solve for x
    x = 58,861,154,995.65/349,057.86
  6. Step 6: Final answer
    x = 168,628.65

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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.