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Finding the Fourth Proportional to 469,011.92, 647,268.20 and 264,992.08

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Solution

The fourth proportional to 469,011.92, 647,268.20 and 264,992.08 is: 365,707.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,011.92 : 647,268.20 = 264,992.08 : x
  2. Step 2: Convert to fraction form
    469,011.92/647,268.20 = 264,992.08/x
  3. Step 3: Cross multiply
    469,011.92x = 647,268.20 × 264,992.08
  4. Step 4: Simplify right side
    469,011.92x = 171,520,946,635.86
  5. Step 5: Solve for x
    x = 171,520,946,635.86/469,011.92
  6. Step 6: Final answer
    x = 365,707.01

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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.