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Finding the Fourth Proportional to 471,378.88, 706,649.12 and 171,803.04

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Solution

The fourth proportional to 471,378.88, 706,649.12 and 171,803.04 is: 257,551.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,378.88 : 706,649.12 = 171,803.04 : x
  2. Step 2: Convert to fraction form
    471,378.88/706,649.12 = 171,803.04/x
  3. Step 3: Cross multiply
    471,378.88x = 706,649.12 × 171,803.04
  4. Step 4: Simplify right side
    471,378.88x = 121,404,467,029.33
  5. Step 5: Solve for x
    x = 121,404,467,029.33/471,378.88
  6. Step 6: Final answer
    x = 257,551.77

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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.