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Finding the Fourth Proportional to 341,219.76, 470,731.12 and 197,896.72

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Solution

The fourth proportional to 341,219.76, 470,731.12 and 197,896.72 is: 273,009.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,219.76 : 470,731.12 = 197,896.72 : x
  2. Step 2: Convert to fraction form
    341,219.76/470,731.12 = 197,896.72/x
  3. Step 3: Cross multiply
    341,219.76x = 470,731.12 × 197,896.72
  4. Step 4: Simplify right side
    341,219.76x = 93,156,144,649.93
  5. Step 5: Solve for x
    x = 93,156,144,649.93/341,219.76
  6. Step 6: Final answer
    x = 273,009.23

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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.