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Finding the Fourth Proportional to 471,104.83, 705,024.28 and 451,509.31

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Solution

The fourth proportional to 471,104.83, 705,024.28 and 451,509.31 is: 675,698.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,104.83 : 705,024.28 = 451,509.31 : x
  2. Step 2: Convert to fraction form
    471,104.83/705,024.28 = 451,509.31/x
  3. Step 3: Cross multiply
    471,104.83x = 705,024.28 × 451,509.31
  4. Step 4: Simplify right side
    471,104.83x = 318,325,026,196.05
  5. Step 5: Solve for x
    x = 318,325,026,196.05/471,104.83
  6. Step 6: Final answer
    x = 675,698.92

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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.