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Finding the Fourth Proportional to 613,710.84, 920,599.07 and 193,019.52

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Solution

The fourth proportional to 613,710.84, 920,599.07 and 193,019.52 is: 289,539.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,710.84 : 920,599.07 = 193,019.52 : x
  2. Step 2: Convert to fraction form
    613,710.84/920,599.07 = 193,019.52/x
  3. Step 3: Cross multiply
    613,710.84x = 920,599.07 × 193,019.52
  4. Step 4: Simplify right side
    613,710.84x = 177,693,594,176.73
  5. Step 5: Solve for x
    x = 177,693,594,176.73/613,710.84
  6. Step 6: Final answer
    x = 289,539.60

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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.