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Finding the Fourth Proportional to 431,063.80, 646,887.30 and 241,523.80

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Solution

The fourth proportional to 431,063.80, 646,887.30 and 241,523.80 is: 362,449.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,063.80 : 646,887.30 = 241,523.80 : x
  2. Step 2: Convert to fraction form
    431,063.80/646,887.30 = 241,523.80/x
  3. Step 3: Cross multiply
    431,063.80x = 646,887.30 × 241,523.80
  4. Step 4: Simplify right side
    431,063.80x = 156,238,678,867.74
  5. Step 5: Solve for x
    x = 156,238,678,867.74/431,063.80
  6. Step 6: Final answer
    x = 362,449.08

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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.