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Finding the Fourth Proportional to 493,514.70, 740,444.85 and 213,233.10

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Solution

The fourth proportional to 493,514.70, 740,444.85 and 213,233.10 is: 319,924.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,514.70 : 740,444.85 = 213,233.10 : x
  2. Step 2: Convert to fraction form
    493,514.70/740,444.85 = 213,233.10/x
  3. Step 3: Cross multiply
    493,514.70x = 740,444.85 × 213,233.10
  4. Step 4: Simplify right side
    493,514.70x = 157,887,350,744.54
  5. Step 5: Solve for x
    x = 157,887,350,744.54/493,514.70
  6. Step 6: Final answer
    x = 319,924.31

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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.