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Finding the Fourth Proportional to 264,483.23, 396,782.35 and 86,986.31

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Solution

The fourth proportional to 264,483.23, 396,782.35 and 86,986.31 is: 130,498.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,483.23 : 396,782.35 = 86,986.31 : x
  2. Step 2: Convert to fraction form
    264,483.23/396,782.35 = 86,986.31/x
  3. Step 3: Cross multiply
    264,483.23x = 396,782.35 × 86,986.31
  4. Step 4: Simplify right side
    264,483.23x = 34,514,630,298.25
  5. Step 5: Solve for x
    x = 34,514,630,298.25/264,483.23
  6. Step 6: Final answer
    x = 130,498.37

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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.