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Finding the Fourth Proportional to 468,514.24, 646,549.92 and 253,654.36

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Solution

The fourth proportional to 468,514.24, 646,549.92 and 253,654.36 is: 350,043.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,514.24 : 646,549.92 = 253,654.36 : x
  2. Step 2: Convert to fraction form
    468,514.24/646,549.92 = 253,654.36/x
  3. Step 3: Cross multiply
    468,514.24x = 646,549.92 × 253,654.36
  4. Step 4: Simplify right side
    468,514.24x = 164,000,206,165.65
  5. Step 5: Solve for x
    x = 164,000,206,165.65/468,514.24
  6. Step 6: Final answer
    x = 350,043.16

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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.