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Finding the Fourth Proportional to 295,954.71, 408,438.35 and 166,904.73

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Solution

The fourth proportional to 295,954.71, 408,438.35 and 166,904.73 is: 230,340.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,954.71 : 408,438.35 = 166,904.73 : x
  2. Step 2: Convert to fraction form
    295,954.71/408,438.35 = 166,904.73/x
  3. Step 3: Cross multiply
    295,954.71x = 408,438.35 × 166,904.73
  4. Step 4: Simplify right side
    295,954.71x = 68,170,291,693.87
  5. Step 5: Solve for x
    x = 68,170,291,693.87/295,954.71
  6. Step 6: Final answer
    x = 230,340.28

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1.5x scale

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.