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Finding the Fourth Proportional to 594,564.94, 820,156.47 and 379,462.55

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Solution

The fourth proportional to 594,564.94, 820,156.47 and 379,462.55 is: 523,439.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    594,564.94 : 820,156.47 = 379,462.55 : x
  2. Step 2: Convert to fraction form
    594,564.94/820,156.47 = 379,462.55/x
  3. Step 3: Cross multiply
    594,564.94x = 820,156.47 × 379,462.55
  4. Step 4: Simplify right side
    594,564.94x = 311,218,665,505.20
  5. Step 5: Solve for x
    x = 311,218,665,505.20/594,564.94
  6. Step 6: Final answer
    x = 523,439.32

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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.