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Finding the Fourth Proportional to 535,172.63, 802,671.41 and 198,134.06

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Solution

The fourth proportional to 535,172.63, 802,671.41 and 198,134.06 is: 297,168.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,172.63 : 802,671.41 = 198,134.06 : x
  2. Step 2: Convert to fraction form
    535,172.63/802,671.41 = 198,134.06/x
  3. Step 3: Cross multiply
    535,172.63x = 802,671.41 × 198,134.06
  4. Step 4: Simplify right side
    535,172.63x = 159,036,540,305.20
  5. Step 5: Solve for x
    x = 159,036,540,305.20/535,172.63
  6. Step 6: Final answer
    x = 297,168.68

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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.