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Finding the Fourth Proportional to 357,117.92, 492,830.16 and 195,963.56

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Solution

The fourth proportional to 357,117.92, 492,830.16 and 195,963.56 is: 270,433.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,117.92 : 492,830.16 = 195,963.56 : x
  2. Step 2: Convert to fraction form
    357,117.92/492,830.16 = 195,963.56/x
  3. Step 3: Cross multiply
    357,117.92x = 492,830.16 × 195,963.56
  4. Step 4: Simplify right side
    357,117.92x = 96,576,752,628.97
  5. Step 5: Solve for x
    x = 96,576,752,628.97/357,117.92
  6. Step 6: Final answer
    x = 270,433.79

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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.