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Finding the Fourth Proportional to 357,451.92, 493,283.39 and 196,317.14

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Solution

The fourth proportional to 357,451.92, 493,283.39 and 196,317.14 is: 270,917.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,451.92 : 493,283.39 = 196,317.14 : x
  2. Step 2: Convert to fraction form
    357,451.92/493,283.39 = 196,317.14/x
  3. Step 3: Cross multiply
    357,451.92x = 493,283.39 × 196,317.14
  4. Step 4: Simplify right side
    357,451.92x = 96,839,980,886.30
  5. Step 5: Solve for x
    x = 96,839,980,886.30/357,451.92
  6. Step 6: Final answer
    x = 270,917.50

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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.