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Finding the Fourth Proportional to 477,175.08, 658,514.21 and 259,398.40

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Solution

The fourth proportional to 477,175.08, 658,514.21 and 259,398.40 is: 357,976.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,175.08 : 658,514.21 = 259,398.40 : x
  2. Step 2: Convert to fraction form
    477,175.08/658,514.21 = 259,398.40/x
  3. Step 3: Cross multiply
    477,175.08x = 658,514.21 × 259,398.40
  4. Step 4: Simplify right side
    477,175.08x = 170,817,530,742.70
  5. Step 5: Solve for x
    x = 170,817,530,742.70/477,175.08
  6. Step 6: Final answer
    x = 357,976.64

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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.