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Finding the Fourth Proportional to 584,378.91, 806,455.49 and 322,733.41

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Solution

The fourth proportional to 584,378.91, 806,455.49 and 322,733.41 is: 445,379.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,378.91 : 806,455.49 = 322,733.41 : x
  2. Step 2: Convert to fraction form
    584,378.91/806,455.49 = 322,733.41/x
  3. Step 3: Cross multiply
    584,378.91x = 806,455.49 × 322,733.41
  4. Step 4: Simplify right side
    584,378.91x = 260,270,126,671.12
  5. Step 5: Solve for x
    x = 260,270,126,671.12/584,378.91
  6. Step 6: Final answer
    x = 445,379.05

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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.