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Finding the Fourth Proportional to 397,337.86, 548,314.27 and 216,050.14

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Solution

The fourth proportional to 397,337.86, 548,314.27 and 216,050.14 is: 298,142.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,337.86 : 548,314.27 = 216,050.14 : x
  2. Step 2: Convert to fraction form
    397,337.86/548,314.27 = 216,050.14/x
  3. Step 3: Cross multiply
    397,337.86x = 548,314.27 × 216,050.14
  4. Step 4: Simplify right side
    397,337.86x = 118,463,374,797.50
  5. Step 5: Solve for x
    x = 118,463,374,797.50/397,337.86
  6. Step 6: Final answer
    x = 298,142.68

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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.