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Finding the Fourth Proportional to 576,518.72, 864,176.24 and 197,327.76

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Solution

The fourth proportional to 576,518.72, 864,176.24 and 197,327.76 is: 295,785.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    576,518.72 : 864,176.24 = 197,327.76 : x
  2. Step 2: Convert to fraction form
    576,518.72/864,176.24 = 197,327.76/x
  3. Step 3: Cross multiply
    576,518.72x = 864,176.24 × 197,327.76
  4. Step 4: Simplify right side
    576,518.72x = 170,525,961,684.42
  5. Step 5: Solve for x
    x = 170,525,961,684.42/576,518.72
  6. Step 6: Final answer
    x = 295,785.65

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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.