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Finding the Fourth Proportional to 356,841, 492,440.58 and 197,865

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Solution

The fourth proportional to 356,841, 492,440.58 and 197,865 is: 273,053.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,841 : 492,440.58 = 197,865 : x
  2. Step 2: Convert to fraction form
    356,841/492,440.58 = 197,865/x
  3. Step 3: Cross multiply
    356,841x = 492,440.58 × 197,865
  4. Step 4: Simplify right side
    356,841x = 97,436,755,361.70
  5. Step 5: Solve for x
    x = 97,436,755,361.70/356,841
  6. Step 6: Final answer
    x = 273,053.70

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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.