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Finding the Fourth Proportional to 535,046, 802,635.96 and 198,029.84

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Solution

The fourth proportional to 535,046, 802,635.96 and 198,029.84 is: 297,069.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,046 : 802,635.96 = 198,029.84 : x
  2. Step 2: Convert to fraction form
    535,046/802,635.96 = 198,029.84/x
  3. Step 3: Cross multiply
    535,046x = 802,635.96 × 198,029.84
  4. Step 4: Simplify right side
    535,046x = 158,945,870,737.05
  5. Step 5: Solve for x
    x = 158,945,870,737.05/535,046
  6. Step 6: Final answer
    x = 297,069.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.