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Finding the Fourth Proportional to 341,213.76, 470,722.84 and 197,890.72

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Solution

The fourth proportional to 341,213.76, 470,722.84 and 197,890.72 is: 273,000.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,213.76 : 470,722.84 = 197,890.72 : x
  2. Step 2: Convert to fraction form
    341,213.76/470,722.84 = 197,890.72/x
  3. Step 3: Cross multiply
    341,213.76x = 470,722.84 × 197,890.72
  4. Step 4: Simplify right side
    341,213.76x = 93,151,681,728.04
  5. Step 5: Solve for x
    x = 93,151,681,728.04/341,213.76
  6. Step 6: Final answer
    x = 273,000.95

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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.