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Finding the Fourth Proportional to 354,142.02, 488,709.54 and 192,998.46

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Solution

The fourth proportional to 354,142.02, 488,709.54 and 192,998.46 is: 266,334.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,142.02 : 488,709.54 = 192,998.46 : x
  2. Step 2: Convert to fraction form
    354,142.02/488,709.54 = 192,998.46/x
  3. Step 3: Cross multiply
    354,142.02x = 488,709.54 × 192,998.46
  4. Step 4: Simplify right side
    354,142.02x = 94,320,188,607.31
  5. Step 5: Solve for x
    x = 94,320,188,607.31/354,142.02
  6. Step 6: Final answer
    x = 266,334.36

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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.