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Finding the Fourth Proportional to 357,516, 493,365.15 and 196,367.31

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Solution

The fourth proportional to 357,516, 493,365.15 and 196,367.31 is: 270,983.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,516 : 493,365.15 = 196,367.31 : x
  2. Step 2: Convert to fraction form
    357,516/493,365.15 = 196,367.31/x
  3. Step 3: Cross multiply
    357,516x = 493,365.15 × 196,367.31
  4. Step 4: Simplify right side
    357,516x = 96,880,787,353.25
  5. Step 5: Solve for x
    x = 96,880,787,353.25/357,516
  6. Step 6: Final answer
    x = 270,983.08

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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.