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Finding the Fourth Proportional to 295,739.24, 443,477.10 and 85,327.16

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Solution

The fourth proportional to 295,739.24, 443,477.10 and 85,327.16 is: 127,952.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,739.24 : 443,477.10 = 85,327.16 : x
  2. Step 2: Convert to fraction form
    295,739.24/443,477.10 = 85,327.16/x
  3. Step 3: Cross multiply
    295,739.24x = 443,477.10 × 85,327.16
  4. Step 4: Simplify right side
    295,739.24x = 37,840,641,468.04
  5. Step 5: Solve for x
    x = 37,840,641,468.04/295,739.24
  6. Step 6: Final answer
    x = 127,952.72

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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.