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Finding the Fourth Proportional to 264,663.84, 396,994.80 and 114,884.58

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Solution

The fourth proportional to 264,663.84, 396,994.80 and 114,884.58 is: 172,326.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,663.84 : 396,994.80 = 114,884.58 : x
  2. Step 2: Convert to fraction form
    264,663.84/396,994.80 = 114,884.58/x
  3. Step 3: Cross multiply
    264,663.84x = 396,994.80 × 114,884.58
  4. Step 4: Simplify right side
    264,663.84x = 45,608,580,860.18
  5. Step 5: Solve for x
    x = 45,608,580,860.18/264,663.84
  6. Step 6: Final answer
    x = 172,326.45

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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.