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Finding the Fourth Proportional to 276,033.96, 380,656.26 and 175,257

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Solution

The fourth proportional to 276,033.96, 380,656.26 and 175,257 is: 241,682.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,033.96 : 380,656.26 = 175,257 : x
  2. Step 2: Convert to fraction form
    276,033.96/380,656.26 = 175,257/x
  3. Step 3: Cross multiply
    276,033.96x = 380,656.26 × 175,257
  4. Step 4: Simplify right side
    276,033.96x = 66,712,674,158.82
  5. Step 5: Solve for x
    x = 66,712,674,158.82/276,033.96
  6. Step 6: Final answer
    x = 241,682.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.