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Finding the Fourth Proportional to 344,494, 516,750.66 and 95,176

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Solution

The fourth proportional to 344,494, 516,750.66 and 95,176 is: 142,766.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,494 : 516,750.66 = 95,176 : x
  2. Step 2: Convert to fraction form
    344,494/516,750.66 = 95,176/x
  3. Step 3: Cross multiply
    344,494x = 516,750.66 × 95,176
  4. Step 4: Simplify right side
    344,494x = 49,182,260,816.16
  5. Step 5: Solve for x
    x = 49,182,260,816.16/344,494
  6. Step 6: Final answer
    x = 142,766.67

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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.