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Finding the Fourth Proportional to 431,103.04, 594,716.16 and 334,951.72

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Solution

The fourth proportional to 431,103.04, 594,716.16 and 334,951.72 is: 462,073.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,103.04 : 594,716.16 = 334,951.72 : x
  2. Step 2: Convert to fraction form
    431,103.04/594,716.16 = 334,951.72/x
  3. Step 3: Cross multiply
    431,103.04x = 594,716.16 × 334,951.72
  4. Step 4: Simplify right side
    431,103.04x = 199,201,200,703.80
  5. Step 5: Solve for x
    x = 199,201,200,703.80/431,103.04
  6. Step 6: Final answer
    x = 462,073.29

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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.