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Finding the Fourth Proportional to 516,330.34, 774,014.00 and 174,535.97

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Solution

The fourth proportional to 516,330.34, 774,014.00 and 174,535.97 is: 261,641.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,330.34 : 774,014.00 = 174,535.97 : x
  2. Step 2: Convert to fraction form
    516,330.34/774,014.00 = 174,535.97/x
  3. Step 3: Cross multiply
    516,330.34x = 774,014.00 × 174,535.97
  4. Step 4: Simplify right side
    516,330.34x = 135,093,279,540.83
  5. Step 5: Solve for x
    x = 135,093,279,540.83/516,330.34
  6. Step 6: Final answer
    x = 261,641.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.