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Finding the Fourth Proportional to 297,490.04, 410,384.16 and 189,947.00

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Solution

The fourth proportional to 297,490.04, 410,384.16 and 189,947.00 is: 262,029.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,490.04 : 410,384.16 = 189,947.00 : x
  2. Step 2: Convert to fraction form
    297,490.04/410,384.16 = 189,947.00/x
  3. Step 3: Cross multiply
    297,490.04x = 410,384.16 × 189,947.00
  4. Step 4: Simplify right side
    297,490.04x = 77,951,240,353.18
  5. Step 5: Solve for x
    x = 77,951,240,353.18/297,490.04
  6. Step 6: Final answer
    x = 262,029.75

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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.