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Finding the Fourth Proportional to 584,062.56, 806,033.76 and 329,408.64

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Solution

The fourth proportional to 584,062.56, 806,033.76 and 329,408.64 is: 454,599.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,062.56 : 806,033.76 = 329,408.64 : x
  2. Step 2: Convert to fraction form
    584,062.56/806,033.76 = 329,408.64/x
  3. Step 3: Cross multiply
    584,062.56x = 806,033.76 × 329,408.64
  4. Step 4: Simplify right side
    584,062.56x = 265,514,484,675.69
  5. Step 5: Solve for x
    x = 265,514,484,675.69/584,062.56
  6. Step 6: Final answer
    x = 454,599.39

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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.