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Finding the Fourth Proportional to 289,542.70, 434,111.55 and 171,153.10

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Solution

The fourth proportional to 289,542.70, 434,111.55 and 171,153.10 is: 256,609.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,542.70 : 434,111.55 = 171,153.10 : x
  2. Step 2: Convert to fraction form
    289,542.70/434,111.55 = 171,153.10/x
  3. Step 3: Cross multiply
    289,542.70x = 434,111.55 × 171,153.10
  4. Step 4: Simplify right side
    289,542.70x = 74,299,537,528.31
  5. Step 5: Solve for x
    x = 74,299,537,528.31/289,542.70
  6. Step 6: Final answer
    x = 256,609.95

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.