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Finding the Fourth Proportional to 471,538.07, 706,910.36 and 205,097.91

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Solution

The fourth proportional to 471,538.07, 706,910.36 and 205,097.91 is: 307,474.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,538.07 : 706,910.36 = 205,097.91 : x
  2. Step 2: Convert to fraction form
    471,538.07/706,910.36 = 205,097.91/x
  3. Step 3: Cross multiply
    471,538.07x = 706,910.36 × 205,097.91
  4. Step 4: Simplify right side
    471,538.07x = 144,985,837,393.35
  5. Step 5: Solve for x
    x = 144,985,837,393.35/471,538.07
  6. Step 6: Final answer
    x = 307,474.30

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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.