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Finding the Fourth Proportional to 276,742.17, 415,244.47 and 164,643.84

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Solution

The fourth proportional to 276,742.17, 415,244.47 and 164,643.84 is: 247,043.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,742.17 : 415,244.47 = 164,643.84 : x
  2. Step 2: Convert to fraction form
    276,742.17/415,244.47 = 164,643.84/x
  3. Step 3: Cross multiply
    276,742.17x = 415,244.47 × 164,643.84
  4. Step 4: Simplify right side
    276,742.17x = 68,367,442,419.50
  5. Step 5: Solve for x
    x = 68,367,442,419.50/276,742.17
  6. Step 6: Final answer
    x = 247,043.82

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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.