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Finding the Fourth Proportional to 519,475.80, 779,051.70 and 204,029.40

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Solution

The fourth proportional to 519,475.80, 779,051.70 and 204,029.40 is: 305,980.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,475.80 : 779,051.70 = 204,029.40 : x
  2. Step 2: Convert to fraction form
    519,475.80/779,051.70 = 204,029.40/x
  3. Step 3: Cross multiply
    519,475.80x = 779,051.70 × 204,029.40
  4. Step 4: Simplify right side
    519,475.80x = 158,949,450,919.98
  5. Step 5: Solve for x
    x = 158,949,450,919.98/519,475.80
  6. Step 6: Final answer
    x = 305,980.47

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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.