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Finding the Fourth Proportional to 340,573.96, 470,006.65 and 189,670.96

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Solution

The fourth proportional to 340,573.96, 470,006.65 and 189,670.96 is: 261,754.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,573.96 : 470,006.65 = 189,670.96 : x
  2. Step 2: Convert to fraction form
    340,573.96/470,006.65 = 189,670.96/x
  3. Step 3: Cross multiply
    340,573.96x = 470,006.65 × 189,670.96
  4. Step 4: Simplify right side
    340,573.96x = 89,146,611,563.53
  5. Step 5: Solve for x
    x = 89,146,611,563.53/340,573.96
  6. Step 6: Final answer
    x = 261,754.04

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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.