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Finding the Fourth Proportional to 265,248.96, 397,993.80 and 242,824.80

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Solution

The fourth proportional to 265,248.96, 397,993.80 and 242,824.80 is: 364,347.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,248.96 : 397,993.80 = 242,824.80 : x
  2. Step 2: Convert to fraction form
    265,248.96/397,993.80 = 242,824.80/x
  3. Step 3: Cross multiply
    265,248.96x = 397,993.80 × 242,824.80
  4. Step 4: Simplify right side
    265,248.96x = 96,642,764,886.24
  5. Step 5: Solve for x
    x = 96,642,764,886.24/265,248.96
  6. Step 6: Final answer
    x = 364,347.38

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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.