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Finding the Fourth Proportional to 514,767.04, 771,936.72 and 199,042

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Solution

The fourth proportional to 514,767.04, 771,936.72 and 199,042 is: 298,480.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,767.04 : 771,936.72 = 199,042 : x
  2. Step 2: Convert to fraction form
    514,767.04/771,936.72 = 199,042/x
  3. Step 3: Cross multiply
    514,767.04x = 771,936.72 × 199,042
  4. Step 4: Simplify right side
    514,767.04x = 153,647,828,622.24
  5. Step 5: Solve for x
    x = 153,647,828,622.24/514,767.04
  6. Step 6: Final answer
    x = 298,480.32

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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.