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Finding the Fourth Proportional to 295,657.92, 407,969.76 and 166,599.36

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Solution

The fourth proportional to 295,657.92, 407,969.76 and 166,599.36 is: 229,885.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,657.92 : 407,969.76 = 166,599.36 : x
  2. Step 2: Convert to fraction form
    295,657.92/407,969.76 = 166,599.36/x
  3. Step 3: Cross multiply
    295,657.92x = 407,969.76 × 166,599.36
  4. Step 4: Simplify right side
    295,657.92x = 67,967,500,915.35
  5. Step 5: Solve for x
    x = 67,967,500,915.35/295,657.92
  6. Step 6: Final answer
    x = 229,885.61

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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.