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Finding the Fourth Proportional to 397,595.16, 548,673.12 and 216,311.40

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Solution

The fourth proportional to 397,595.16, 548,673.12 and 216,311.40 is: 298,505.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,595.16 : 548,673.12 = 216,311.40 : x
  2. Step 2: Convert to fraction form
    397,595.16/548,673.12 = 216,311.40/x
  3. Step 3: Cross multiply
    397,595.16x = 548,673.12 × 216,311.40
  4. Step 4: Simplify right side
    397,595.16x = 118,684,250,729.57
  5. Step 5: Solve for x
    x = 118,684,250,729.57/397,595.16
  6. Step 6: Final answer
    x = 298,505.27

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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.