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Finding the Fourth Proportional to 594,774.81, 820,789.98 and 322,842.55

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Solution

The fourth proportional to 594,774.81, 820,789.98 and 322,842.55 is: 445,523.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    594,774.81 : 820,789.98 = 322,842.55 : x
  2. Step 2: Convert to fraction form
    594,774.81/820,789.98 = 322,842.55/x
  3. Step 3: Cross multiply
    594,774.81x = 820,789.98 × 322,842.55
  4. Step 4: Simplify right side
    594,774.81x = 264,985,930,003.74
  5. Step 5: Solve for x
    x = 264,985,930,003.74/594,774.81
  6. Step 6: Final answer
    x = 445,523.12

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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.