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Finding the Fourth Proportional to 594,788.84, 820,809.33 and 322,856.58

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Solution

The fourth proportional to 594,788.84, 820,809.33 and 322,856.58 is: 445,542.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    594,788.84 : 820,809.33 = 322,856.58 : x
  2. Step 2: Convert to fraction form
    594,788.84/820,809.33 = 322,856.58/x
  3. Step 3: Cross multiply
    594,788.84x = 820,809.33 × 322,856.58
  4. Step 4: Simplify right side
    594,788.84x = 265,003,693,115.89
  5. Step 5: Solve for x
    x = 265,003,693,115.89/594,788.84
  6. Step 6: Final answer
    x = 445,542.48

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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.