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Finding the Fourth Proportional to 613,194.34, 920,384.74 and 442,591.94

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Solution

The fourth proportional to 613,194.34, 920,384.74 and 442,591.94 is: 664,316.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,194.34 : 920,384.74 = 442,591.94 : x
  2. Step 2: Convert to fraction form
    613,194.34/920,384.74 = 442,591.94/x
  3. Step 3: Cross multiply
    613,194.34x = 920,384.74 × 442,591.94
  4. Step 4: Simplify right side
    613,194.34x = 407,354,867,623.00
  5. Step 5: Solve for x
    x = 407,354,867,623.00/613,194.34
  6. Step 6: Final answer
    x = 664,316.09

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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.