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Finding the Fourth Proportional to 341,193, 470,694.20 and 197,869.98

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Solution

The fourth proportional to 341,193, 470,694.20 and 197,869.98 is: 272,972.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,193 : 470,694.20 = 197,869.98 : x
  2. Step 2: Convert to fraction form
    341,193/470,694.20 = 197,869.98/x
  3. Step 3: Cross multiply
    341,193x = 470,694.20 × 197,869.98
  4. Step 4: Simplify right side
    341,193x = 93,136,250,950.77
  5. Step 5: Solve for x
    x = 93,136,250,950.77/341,193
  6. Step 6: Final answer
    x = 272,972.34

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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.