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Finding the Fourth Proportional to 613,838.25, 920,448.90 and 357,753.24

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Solution

The fourth proportional to 613,838.25, 920,448.90 and 357,753.24 is: 536,450.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,838.25 : 920,448.90 = 357,753.24 : x
  2. Step 2: Convert to fraction form
    613,838.25/920,448.90 = 357,753.24/x
  3. Step 3: Cross multiply
    613,838.25x = 920,448.90 × 357,753.24
  4. Step 4: Simplify right side
    613,838.25x = 329,293,576,229.44
  5. Step 5: Solve for x
    x = 329,293,576,229.44/613,838.25
  6. Step 6: Final answer
    x = 536,450.08

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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.