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Finding the Fourth Proportional to 265,835.84, 366,820.80 and 225,711.68

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Solution

The fourth proportional to 265,835.84, 366,820.80 and 225,711.68 is: 311,454.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,835.84 : 366,820.80 = 225,711.68 : x
  2. Step 2: Convert to fraction form
    265,835.84/366,820.80 = 225,711.68/x
  3. Step 3: Cross multiply
    265,835.84x = 366,820.80 × 225,711.68
  4. Step 4: Simplify right side
    265,835.84x = 82,795,739,026.94
  5. Step 5: Solve for x
    x = 82,795,739,026.94/265,835.84
  6. Step 6: Final answer
    x = 311,454.39

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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.