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Finding the Fourth Proportional to 613,892.40, 920,983.14 and 193,168.14

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Solution

The fourth proportional to 613,892.40, 920,983.14 and 193,168.14 is: 289,797.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,892.40 : 920,983.14 = 193,168.14 : x
  2. Step 2: Convert to fraction form
    613,892.40/920,983.14 = 193,168.14/x
  3. Step 3: Cross multiply
    613,892.40x = 920,983.14 × 193,168.14
  4. Step 4: Simplify right side
    613,892.40x = 177,904,600,125.16
  5. Step 5: Solve for x
    x = 177,904,600,125.16/613,892.40
  6. Step 6: Final answer
    x = 289,797.69

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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.