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Finding the Fourth Proportional to 295,880.58, 408,294.69 and 166,823.67

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Solution

The fourth proportional to 295,880.58, 408,294.69 and 166,823.67 is: 230,205.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,880.58 : 408,294.69 = 166,823.67 : x
  2. Step 2: Convert to fraction form
    295,880.58/408,294.69 = 166,823.67/x
  3. Step 3: Cross multiply
    295,880.58x = 408,294.69 × 166,823.67
  4. Step 4: Simplify right side
    295,880.58x = 68,113,218,174.55
  5. Step 5: Solve for x
    x = 68,113,218,174.55/295,880.58
  6. Step 6: Final answer
    x = 230,205.10

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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.