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Finding the Fourth Proportional to 298,156.14, 411,467.04 and 170,856.95

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Solution

The fourth proportional to 298,156.14, 411,467.04 and 170,856.95 is: 235,789.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,156.14 : 411,467.04 = 170,856.95 : x
  2. Step 2: Convert to fraction form
    298,156.14/411,467.04 = 170,856.95/x
  3. Step 3: Cross multiply
    298,156.14x = 411,467.04 × 170,856.95
  4. Step 4: Simplify right side
    298,156.14x = 70,302,001,422.59
  5. Step 5: Solve for x
    x = 70,302,001,422.59/298,156.14
  6. Step 6: Final answer
    x = 235,789.21

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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.