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Finding the Fourth Proportional to 594,564.59, 820,156 and 379,462.21

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Solution

The fourth proportional to 594,564.59, 820,156 and 379,462.21 is: 523,438.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    594,564.59 : 820,156 = 379,462.21 : x
  2. Step 2: Convert to fraction form
    594,564.59/820,156 = 379,462.21/x
  3. Step 3: Cross multiply
    594,564.59x = 820,156 × 379,462.21
  4. Step 4: Simplify right side
    594,564.59x = 311,218,208,304.76
  5. Step 5: Solve for x
    x = 311,218,208,304.76/594,564.59
  6. Step 6: Final answer
    x = 523,438.86

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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.