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Finding the Fourth Proportional to 513,514, 708,410.72 and 332,284.36

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Solution

The fourth proportional to 513,514, 708,410.72 and 332,284.36 is: 458,398.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,514 : 708,410.72 = 332,284.36 : x
  2. Step 2: Convert to fraction form
    513,514/708,410.72 = 332,284.36/x
  3. Step 3: Cross multiply
    513,514x = 708,410.72 × 332,284.36
  4. Step 4: Simplify right side
    513,514x = 235,393,802,712.34
  5. Step 5: Solve for x
    x = 235,393,802,712.34/513,514
  6. Step 6: Final answer
    x = 458,398.02

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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.