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Finding the Fourth Proportional to 397,113, 595,743.32 and 130,892.24

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Solution

The fourth proportional to 397,113, 595,743.32 and 130,892.24 is: 196,362.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,113 : 595,743.32 = 130,892.24 : x
  2. Step 2: Convert to fraction form
    397,113/595,743.32 = 130,892.24/x
  3. Step 3: Cross multiply
    397,113x = 595,743.32 × 130,892.24
  4. Step 4: Simplify right side
    397,113x = 77,978,177,619.84
  5. Step 5: Solve for x
    x = 77,978,177,619.84/397,113
  6. Step 6: Final answer
    x = 196,362.69

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.