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Finding the Fourth Proportional to 468,514.44, 646,549.11 and 253,654.50

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Solution

The fourth proportional to 468,514.44, 646,549.11 and 253,654.50 is: 350,042.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,514.44 : 646,549.11 = 253,654.50 : x
  2. Step 2: Convert to fraction form
    468,514.44/646,549.11 = 253,654.50/x
  3. Step 3: Cross multiply
    468,514.44x = 646,549.11 × 253,654.50
  4. Step 4: Simplify right side
    468,514.44x = 164,000,091,222.50
  5. Step 5: Solve for x
    x = 164,000,091,222.50/468,514.44
  6. Step 6: Final answer
    x = 350,042.77

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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.