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Finding the Fourth Proportional to 298,805.82, 412,341.56 and 162,837

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Solution

The fourth proportional to 298,805.82, 412,341.56 and 162,837 is: 224,709.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,805.82 : 412,341.56 = 162,837 : x
  2. Step 2: Convert to fraction form
    298,805.82/412,341.56 = 162,837/x
  3. Step 3: Cross multiply
    298,805.82x = 412,341.56 × 162,837
  4. Step 4: Simplify right side
    298,805.82x = 67,144,462,605.72
  5. Step 5: Solve for x
    x = 67,144,462,605.72/298,805.82
  6. Step 6: Final answer
    x = 224,709.35

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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.