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Finding the Fourth Proportional to 471,225.88, 706,978.16 and 271,689.40

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Solution

The fourth proportional to 471,225.88, 706,978.16 and 271,689.40 is: 407,614.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,225.88 : 706,978.16 = 271,689.40 : x
  2. Step 2: Convert to fraction form
    471,225.88/706,978.16 = 271,689.40/x
  3. Step 3: Cross multiply
    471,225.88x = 706,978.16 × 271,689.40
  4. Step 4: Simplify right side
    471,225.88x = 192,078,472,103.50
  5. Step 5: Solve for x
    x = 192,078,472,103.50/471,225.88
  6. Step 6: Final answer
    x = 407,614.44

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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.