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Finding the Fourth Proportional to 289,508.46, 399,425.96 and 174,743.50

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Solution

The fourth proportional to 289,508.46, 399,425.96 and 174,743.50 is: 241,088.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,508.46 : 399,425.96 = 174,743.50 : x
  2. Step 2: Convert to fraction form
    289,508.46/399,425.96 = 174,743.50/x
  3. Step 3: Cross multiply
    289,508.46x = 399,425.96 × 174,743.50
  4. Step 4: Simplify right side
    289,508.46x = 69,797,090,241.26
  5. Step 5: Solve for x
    x = 69,797,090,241.26/289,508.46
  6. Step 6: Final answer
    x = 241,088.26

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Why These Related Problems?

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