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Finding the Fourth Proportional to 431,103.54, 594,716.85 and 334,952.22

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Solution

The fourth proportional to 431,103.54, 594,716.85 and 334,952.22 is: 462,073.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,103.54 : 594,716.85 = 334,952.22 : x
  2. Step 2: Convert to fraction form
    431,103.54/594,716.85 = 334,952.22/x
  3. Step 3: Cross multiply
    431,103.54x = 594,716.85 × 334,952.22
  4. Step 4: Simplify right side
    431,103.54x = 199,201,729,178.91
  5. Step 5: Solve for x
    x = 199,201,729,178.91/431,103.54
  6. Step 6: Final answer
    x = 462,073.98

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1.5x scale

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.