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Finding the Fourth Proportional to 357,498.45, 493,351.91 and 196,357.25

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Solution

The fourth proportional to 357,498.45, 493,351.91 and 196,357.25 is: 270,975.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,498.45 : 493,351.91 = 196,357.25 : x
  2. Step 2: Convert to fraction form
    357,498.45/493,351.91 = 196,357.25/x
  3. Step 3: Cross multiply
    357,498.45x = 493,351.91 × 196,357.25
  4. Step 4: Simplify right side
    357,498.45x = 96,873,220,881.30
  5. Step 5: Solve for x
    x = 96,873,220,881.30/357,498.45
  6. Step 6: Final answer
    x = 270,975.22

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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.