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Finding the Fourth Proportional to 397,847.64, 549,043.56 and 216,574.44

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Solution

The fourth proportional to 397,847.64, 549,043.56 and 216,574.44 is: 298,880.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,847.64 : 549,043.56 = 216,574.44 : x
  2. Step 2: Convert to fraction form
    397,847.64/549,043.56 = 216,574.44/x
  3. Step 3: Cross multiply
    397,847.64x = 549,043.56 × 216,574.44
  4. Step 4: Simplify right side
    397,847.64x = 118,908,801,542.61
  5. Step 5: Solve for x
    x = 118,908,801,542.61/397,847.64
  6. Step 6: Final answer
    x = 298,880.25

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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.