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Finding the Fourth Proportional to 354,147.40, 488,709.14 and 192,998.98

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Solution

The fourth proportional to 354,147.40, 488,709.14 and 192,998.98 is: 266,330.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,147.40 : 488,709.14 = 192,998.98 : x
  2. Step 2: Convert to fraction form
    354,147.40/488,709.14 = 192,998.98/x
  3. Step 3: Cross multiply
    354,147.40x = 488,709.14 × 192,998.98
  4. Step 4: Simplify right side
    354,147.40x = 94,320,365,536.68
  5. Step 5: Solve for x
    x = 94,320,365,536.68/354,147.40
  6. Step 6: Final answer
    x = 266,330.81

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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.