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Finding the Fourth Proportional to 295,704.41, 408,071.70 and 159,738.30

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Solution

The fourth proportional to 295,704.41, 408,071.70 and 159,738.30 is: 220,438.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,704.41 : 408,071.70 = 159,738.30 : x
  2. Step 2: Convert to fraction form
    295,704.41/408,071.70 = 159,738.30/x
  3. Step 3: Cross multiply
    295,704.41x = 408,071.70 × 159,738.30
  4. Step 4: Simplify right side
    295,704.41x = 65,184,679,636.11
  5. Step 5: Solve for x
    x = 65,184,679,636.11/295,704.41
  6. Step 6: Final answer
    x = 220,438.65

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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.