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Finding the Fourth Proportional to 356,859, 492,465.42 and 197,883

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Solution

The fourth proportional to 356,859, 492,465.42 and 197,883 is: 273,078.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,859 : 492,465.42 = 197,883 : x
  2. Step 2: Convert to fraction form
    356,859/492,465.42 = 197,883/x
  3. Step 3: Cross multiply
    356,859x = 492,465.42 × 197,883
  4. Step 4: Simplify right side
    356,859x = 97,450,534,705.86
  5. Step 5: Solve for x
    x = 97,450,534,705.86/356,859
  6. Step 6: Final answer
    x = 273,078.54

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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.