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Finding the Fourth Proportional to 295,887.40, 408,316.44 and 166,824.77

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Solution

The fourth proportional to 295,887.40, 408,316.44 and 166,824.77 is: 230,213.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,887.40 : 408,316.44 = 166,824.77 : x
  2. Step 2: Convert to fraction form
    295,887.40/408,316.44 = 166,824.77/x
  3. Step 3: Cross multiply
    295,887.40x = 408,316.44 × 166,824.77
  4. Step 4: Simplify right side
    295,887.40x = 68,117,294,148.64
  5. Step 5: Solve for x
    x = 68,117,294,148.64/295,887.40
  6. Step 6: Final answer
    x = 230,213.57

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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.