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Finding the Fourth Proportional to 297,444.45, 410,321.30 and 189,901.46

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Solution

The fourth proportional to 297,444.45, 410,321.30 and 189,901.46 is: 261,966.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,444.45 : 410,321.30 = 189,901.46 : x
  2. Step 2: Convert to fraction form
    297,444.45/410,321.30 = 189,901.46/x
  3. Step 3: Cross multiply
    297,444.45x = 410,321.30 × 189,901.46
  4. Step 4: Simplify right side
    297,444.45x = 77,920,614,015.39
  5. Step 5: Solve for x
    x = 77,920,614,015.39/297,444.45
  6. Step 6: Final answer
    x = 261,966.94

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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.