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Finding the Fourth Proportional to 378,015.01, 566,825.63 and 178,281.77

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Solution

The fourth proportional to 378,015.01, 566,825.63 and 178,281.77 is: 267,329.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,015.01 : 566,825.63 = 178,281.77 : x
  2. Step 2: Convert to fraction form
    378,015.01/566,825.63 = 178,281.77/x
  3. Step 3: Cross multiply
    378,015.01x = 566,825.63 × 178,281.77
  4. Step 4: Simplify right side
    378,015.01x = 101,054,672,872.23
  5. Step 5: Solve for x
    x = 101,054,672,872.23/378,015.01
  6. Step 6: Final answer
    x = 267,329.79

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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.