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Finding the Fourth Proportional to 594,712.23, 820,703.64 and 322,780.09

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Solution

The fourth proportional to 594,712.23, 820,703.64 and 322,780.09 is: 445,436.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    594,712.23 : 820,703.64 = 322,780.09 : x
  2. Step 2: Convert to fraction form
    594,712.23/820,703.64 = 322,780.09/x
  3. Step 3: Cross multiply
    594,712.23x = 820,703.64 × 322,780.09
  4. Step 4: Simplify right side
    594,712.23x = 264,906,794,782.53
  5. Step 5: Solve for x
    x = 264,906,794,782.53/594,712.23
  6. Step 6: Final answer
    x = 445,436.94

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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.