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Finding the Fourth Proportional to 355,773.12, 534,270.24 and 315,882.24

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Solution

The fourth proportional to 355,773.12, 534,270.24 and 315,882.24 is: 474,365.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,773.12 : 534,270.24 = 315,882.24 : x
  2. Step 2: Convert to fraction form
    355,773.12/534,270.24 = 315,882.24/x
  3. Step 3: Cross multiply
    355,773.12x = 534,270.24 × 315,882.24
  4. Step 4: Simplify right side
    355,773.12x = 168,766,480,176.54
  5. Step 5: Solve for x
    x = 168,766,480,176.54/355,773.12
  6. Step 6: Final answer
    x = 474,365.46

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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.