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Finding the Fourth Proportional to 519,264.20, 778,896.30 and 203,731.40

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Solution

The fourth proportional to 519,264.20, 778,896.30 and 203,731.40 is: 305,597.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,264.20 : 778,896.30 = 203,731.40 : x
  2. Step 2: Convert to fraction form
    519,264.20/778,896.30 = 203,731.40/x
  3. Step 3: Cross multiply
    519,264.20x = 778,896.30 × 203,731.40
  4. Step 4: Simplify right side
    519,264.20x = 158,685,633,653.82
  5. Step 5: Solve for x
    x = 158,685,633,653.82/519,264.20
  6. Step 6: Final answer
    x = 305,597.10

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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.