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Finding the Fourth Proportional to 397,295.22, 548,278.16 and 216,019.32

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Solution

The fourth proportional to 397,295.22, 548,278.16 and 216,019.32 is: 298,112.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,295.22 : 548,278.16 = 216,019.32 : x
  2. Step 2: Convert to fraction form
    397,295.22/548,278.16 = 216,019.32/x
  3. Step 3: Cross multiply
    397,295.22x = 548,278.16 × 216,019.32
  4. Step 4: Simplify right side
    397,295.22x = 118,438,674,213.96
  5. Step 5: Solve for x
    x = 118,438,674,213.96/397,295.22
  6. Step 6: Final answer
    x = 298,112.51

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1.5x scale

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.