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Finding the Fourth Proportional to 471,537.56, 706,909.61 and 205,097.40

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Solution

The fourth proportional to 471,537.56, 706,909.61 and 205,097.40 is: 307,473.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,537.56 : 706,909.61 = 205,097.40 : x
  2. Step 2: Convert to fraction form
    471,537.56/706,909.61 = 205,097.40/x
  3. Step 3: Cross multiply
    471,537.56x = 706,909.61 × 205,097.40
  4. Step 4: Simplify right side
    471,537.56x = 144,985,323,046.01
  5. Step 5: Solve for x
    x = 144,985,323,046.01/471,537.56
  6. Step 6: Final answer
    x = 307,473.54

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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.