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Finding the Fourth Proportional to 698,763.81, 964,328.26 and 392,936.47

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Solution

The fourth proportional to 698,763.81, 964,328.26 and 392,936.47 is: 542,271.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    698,763.81 : 964,328.26 = 392,936.47 : x
  2. Step 2: Convert to fraction form
    698,763.81/964,328.26 = 392,936.47/x
  3. Step 3: Cross multiply
    698,763.81x = 964,328.26 × 392,936.47
  4. Step 4: Simplify right side
    698,763.81x = 378,919,740,854.37
  5. Step 5: Solve for x
    x = 378,919,740,854.37/698,763.81
  6. Step 6: Final answer
    x = 542,271.56

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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.