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Finding the Fourth Proportional to 276,404.53, 414,609.12 and 76,740.49

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Solution

The fourth proportional to 276,404.53, 414,609.12 and 76,740.49 is: 115,111.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,404.53 : 414,609.12 = 76,740.49 : x
  2. Step 2: Convert to fraction form
    276,404.53/414,609.12 = 76,740.49/x
  3. Step 3: Cross multiply
    276,404.53x = 414,609.12 × 76,740.49
  4. Step 4: Simplify right side
    276,404.53x = 31,817,307,027.27
  5. Step 5: Solve for x
    x = 31,817,307,027.27/276,404.53
  6. Step 6: Final answer
    x = 115,111.38

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1.5x scale

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.