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Finding the Fourth Proportional to 524,517.34, 723,832.87 and 295,074.77

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Solution

The fourth proportional to 524,517.34, 723,832.87 and 295,074.77 is: 407,202.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,517.34 : 723,832.87 = 295,074.77 : x
  2. Step 2: Convert to fraction form
    524,517.34/723,832.87 = 295,074.77/x
  3. Step 3: Cross multiply
    524,517.34x = 723,832.87 × 295,074.77
  4. Step 4: Simplify right side
    524,517.34x = 213,584,816,158.32
  5. Step 5: Solve for x
    x = 213,584,816,158.32/524,517.34
  6. Step 6: Final answer
    x = 407,202.58

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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.