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Finding the Fourth Proportional to 357,109.92, 492,819.12 and 195,955.56

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Solution

The fourth proportional to 357,109.92, 492,819.12 and 195,955.56 is: 270,422.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,109.92 : 492,819.12 = 195,955.56 : x
  2. Step 2: Convert to fraction form
    357,109.92/492,819.12 = 195,955.56/x
  3. Step 3: Cross multiply
    357,109.92x = 492,819.12 × 195,955.56
  4. Step 4: Simplify right side
    357,109.92x = 96,570,646,638.31
  5. Step 5: Solve for x
    x = 96,570,646,638.31/357,109.92
  6. Step 6: Final answer
    x = 270,422.75

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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.