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Finding the Fourth Proportional to 341,098.66, 470,900.70 and 205,162.96

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Solution

The fourth proportional to 341,098.66, 470,900.70 and 205,162.96 is: 283,235.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,098.66 : 470,900.70 = 205,162.96 : x
  2. Step 2: Convert to fraction form
    341,098.66/470,900.70 = 205,162.96/x
  3. Step 3: Cross multiply
    341,098.66x = 470,900.70 × 205,162.96
  4. Step 4: Simplify right side
    341,098.66x = 96,611,381,478.07
  5. Step 5: Solve for x
    x = 96,611,381,478.07/341,098.66
  6. Step 6: Final answer
    x = 283,235.89

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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.