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Finding the Fourth Proportional to 309,648, 427,317.83 and 171,829.76

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Solution

The fourth proportional to 309,648, 427,317.83 and 171,829.76 is: 237,127.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,648 : 427,317.83 = 171,829.76 : x
  2. Step 2: Convert to fraction form
    309,648/427,317.83 = 171,829.76/x
  3. Step 3: Cross multiply
    309,648x = 427,317.83 × 171,829.76
  4. Step 4: Simplify right side
    309,648x = 73,425,917,176.88
  5. Step 5: Solve for x
    x = 73,425,917,176.88/309,648
  6. Step 6: Final answer
    x = 237,127.05

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.