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Finding the Fourth Proportional to 357,114.67, 492,825.68 and 195,960.31

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Solution

The fourth proportional to 357,114.67, 492,825.68 and 195,960.31 is: 270,429.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,114.67 : 492,825.68 = 195,960.31 : x
  2. Step 2: Convert to fraction form
    357,114.67/492,825.68 = 195,960.31/x
  3. Step 3: Cross multiply
    357,114.67x = 492,825.68 × 195,960.31
  4. Step 4: Simplify right side
    357,114.67x = 96,574,273,028.76
  5. Step 5: Solve for x
    x = 96,574,273,028.76/357,114.67
  6. Step 6: Final answer
    x = 270,429.31

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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.