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Finding the Fourth Proportional to 549,840.24, 824,249.12 and 213,100.56

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Solution

The fourth proportional to 549,840.24, 824,249.12 and 213,100.56 is: 319,452.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,840.24 : 824,249.12 = 213,100.56 : x
  2. Step 2: Convert to fraction form
    549,840.24/824,249.12 = 213,100.56/x
  3. Step 3: Cross multiply
    549,840.24x = 824,249.12 × 213,100.56
  4. Step 4: Simplify right side
    549,840.24x = 175,647,947,986.00
  5. Step 5: Solve for x
    x = 175,647,947,986.00/549,840.24
  6. Step 6: Final answer
    x = 319,452.70

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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.