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Finding the Fourth Proportional to 463,256.22, 695,004.11 and 271,292.75

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Solution

The fourth proportional to 463,256.22, 695,004.11 and 271,292.75 is: 407,009.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,256.22 : 695,004.11 = 271,292.75 : x
  2. Step 2: Convert to fraction form
    463,256.22/695,004.11 = 271,292.75/x
  3. Step 3: Cross multiply
    463,256.22x = 695,004.11 × 271,292.75
  4. Step 4: Simplify right side
    463,256.22x = 188,549,571,431.72
  5. Step 5: Solve for x
    x = 188,549,571,431.72/463,256.22
  6. Step 6: Final answer
    x = 407,009.26

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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.