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Finding the Fourth Proportional to 594,537.84, 820,462.88 and 339,894.56

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Solution

The fourth proportional to 594,537.84, 820,462.88 and 339,894.56 is: 469,054.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    594,537.84 : 820,462.88 = 339,894.56 : x
  2. Step 2: Convert to fraction form
    594,537.84/820,462.88 = 339,894.56/x
  3. Step 3: Cross multiply
    594,537.84x = 820,462.88 × 339,894.56
  4. Step 4: Simplify right side
    594,537.84x = 278,870,869,593.93
  5. Step 5: Solve for x
    x = 278,870,869,593.93/594,537.84
  6. Step 6: Final answer
    x = 469,054.87

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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.