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Finding the Fourth Proportional to 471,364.52, 706,617.88 and 171,776.80

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Solution

The fourth proportional to 471,364.52, 706,617.88 and 171,776.80 is: 257,508.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,364.52 : 706,617.88 = 171,776.80 : x
  2. Step 2: Convert to fraction form
    471,364.52/706,617.88 = 171,776.80/x
  3. Step 3: Cross multiply
    471,364.52x = 706,617.88 × 171,776.80
  4. Step 4: Simplify right side
    471,364.52x = 121,380,558,703.01
  5. Step 5: Solve for x
    x = 121,380,558,703.01/471,364.52
  6. Step 6: Final answer
    x = 257,508.90

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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.