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Finding the Fourth Proportional to 357,354.97, 493,150.82 and 196,220.45

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Solution

The fourth proportional to 357,354.97, 493,150.82 and 196,220.45 is: 270,784.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,354.97 : 493,150.82 = 196,220.45 : x
  2. Step 2: Convert to fraction form
    357,354.97/493,150.82 = 196,220.45/x
  3. Step 3: Cross multiply
    357,354.97x = 493,150.82 × 196,220.45
  4. Step 4: Simplify right side
    357,354.97x = 96,766,276,070.04
  5. Step 5: Solve for x
    x = 96,766,276,070.04/357,354.97
  6. Step 6: Final answer
    x = 270,784.75

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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.