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Finding the Fourth Proportional to 594,426.78, 820,308.83 and 339,783.44

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Solution

The fourth proportional to 594,426.78, 820,308.83 and 339,783.44 is: 468,901.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    594,426.78 : 820,308.83 = 339,783.44 : x
  2. Step 2: Convert to fraction form
    594,426.78/820,308.83 = 339,783.44/x
  3. Step 3: Cross multiply
    594,426.78x = 820,308.83 × 339,783.44
  4. Step 4: Simplify right side
    594,426.78x = 278,727,350,319.31
  5. Step 5: Solve for x
    x = 278,727,350,319.31/594,426.78
  6. Step 6: Final answer
    x = 468,901.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.