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Finding the Fourth Proportional to 276,335.76, 414,503.28 and 110,240.40

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Solution

The fourth proportional to 276,335.76, 414,503.28 and 110,240.40 is: 165,360.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,335.76 : 414,503.28 = 110,240.40 : x
  2. Step 2: Convert to fraction form
    276,335.76/414,503.28 = 110,240.40/x
  3. Step 3: Cross multiply
    276,335.76x = 414,503.28 × 110,240.40
  4. Step 4: Simplify right side
    276,335.76x = 45,695,007,388.51
  5. Step 5: Solve for x
    x = 45,695,007,388.51/276,335.76
  6. Step 6: Final answer
    x = 165,360.46

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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.