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Finding the Fourth Proportional to 471,017.88, 706,826.52 and 171,469.35

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Solution

The fourth proportional to 471,017.88, 706,826.52 and 171,469.35 is: 257,313.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,017.88 : 706,826.52 = 171,469.35 : x
  2. Step 2: Convert to fraction form
    471,017.88/706,826.52 = 171,469.35/x
  3. Step 3: Cross multiply
    471,017.88x = 706,826.52 × 171,469.35
  4. Step 4: Simplify right side
    471,017.88x = 121,199,083,947.16
  5. Step 5: Solve for x
    x = 121,199,083,947.16/471,017.88
  6. Step 6: Final answer
    x = 257,313.13

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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.