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Finding the Fourth Proportional to 714,610.50, 986,164.14 and 392,341.33

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Solution

The fourth proportional to 714,610.50, 986,164.14 and 392,341.33 is: 541,431.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    714,610.50 : 986,164.14 = 392,341.33 : x
  2. Step 2: Convert to fraction form
    714,610.50/986,164.14 = 392,341.33/x
  3. Step 3: Cross multiply
    714,610.50x = 986,164.14 × 392,341.33
  4. Step 4: Simplify right side
    714,610.50x = 386,912,950,285.91
  5. Step 5: Solve for x
    x = 386,912,950,285.91/714,610.50
  6. Step 6: Final answer
    x = 541,431.94

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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.