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Finding the Fourth Proportional to 295,731.38, 408,117.76 and 164,912.06

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Solution

The fourth proportional to 295,731.38, 408,117.76 and 164,912.06 is: 227,583.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,731.38 : 408,117.76 = 164,912.06 : x
  2. Step 2: Convert to fraction form
    295,731.38/408,117.76 = 164,912.06/x
  3. Step 3: Cross multiply
    295,731.38x = 408,117.76 × 164,912.06
  4. Step 4: Simplify right side
    295,731.38x = 67,303,540,524.19
  5. Step 5: Solve for x
    x = 67,303,540,524.19/295,731.38
  6. Step 6: Final answer
    x = 227,583.36

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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.