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Finding the Fourth Proportional to 337,378.14, 506,134.02 and 177,530.30

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Solution

The fourth proportional to 337,378.14, 506,134.02 and 177,530.30 is: 266,330.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,378.14 : 506,134.02 = 177,530.30 : x
  2. Step 2: Convert to fraction form
    337,378.14/506,134.02 = 177,530.30/x
  3. Step 3: Cross multiply
    337,378.14x = 506,134.02 × 177,530.30
  4. Step 4: Simplify right side
    337,378.14x = 89,854,124,410.81
  5. Step 5: Solve for x
    x = 89,854,124,410.81/337,378.14
  6. Step 6: Final answer
    x = 266,330.61

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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.