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Finding the Fourth Proportional to 433,462.43, 598,201.40 and 242,464.43

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Solution

The fourth proportional to 433,462.43, 598,201.40 and 242,464.43 is: 334,613.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,462.43 : 598,201.40 = 242,464.43 : x
  2. Step 2: Convert to fraction form
    433,462.43/598,201.40 = 242,464.43/x
  3. Step 3: Cross multiply
    433,462.43x = 598,201.40 × 242,464.43
  4. Step 4: Simplify right side
    433,462.43x = 145,042,561,476.20
  5. Step 5: Solve for x
    x = 145,042,561,476.20/433,462.43
  6. Step 6: Final answer
    x = 334,613.92

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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.