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Finding the Fourth Proportional to 276,274.46, 414,480.65 and 96,362.46

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Solution

The fourth proportional to 276,274.46, 414,480.65 and 96,362.46 is: 144,567.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,274.46 : 414,480.65 = 96,362.46 : x
  2. Step 2: Convert to fraction form
    276,274.46/414,480.65 = 96,362.46/x
  3. Step 3: Cross multiply
    276,274.46x = 414,480.65 × 96,362.46
  4. Step 4: Simplify right side
    276,274.46x = 39,940,374,574.59
  5. Step 5: Solve for x
    x = 39,940,374,574.59/276,274.46
  6. Step 6: Final answer
    x = 144,567.74

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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.