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Finding the Fourth Proportional to 594,078.66, 819,871.92 and 339,424.38

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Solution

The fourth proportional to 594,078.66, 819,871.92 and 339,424.38 is: 468,430.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    594,078.66 : 819,871.92 = 339,424.38 : x
  2. Step 2: Convert to fraction form
    594,078.66/819,871.92 = 339,424.38/x
  3. Step 3: Cross multiply
    594,078.66x = 819,871.92 × 339,424.38
  4. Step 4: Simplify right side
    594,078.66x = 278,284,518,125.41
  5. Step 5: Solve for x
    x = 278,284,518,125.41/594,078.66
  6. Step 6: Final answer
    x = 468,430.42

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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.