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Finding the Fourth Proportional to 397,924.35, 549,125.24 and 216,639.87

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Solution

The fourth proportional to 397,924.35, 549,125.24 and 216,639.87 is: 298,957.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,924.35 : 549,125.24 = 216,639.87 : x
  2. Step 2: Convert to fraction form
    397,924.35/549,125.24 = 216,639.87/x
  3. Step 3: Cross multiply
    397,924.35x = 549,125.24 × 216,639.87
  4. Step 4: Simplify right side
    397,924.35x = 118,962,419,524.12
  5. Step 5: Solve for x
    x = 118,962,419,524.12/397,924.35
  6. Step 6: Final answer
    x = 298,957.38

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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.