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Finding the Fourth Proportional to 356,994.71, 534,763.06 and 199,307.15

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Solution

The fourth proportional to 356,994.71, 534,763.06 and 199,307.15 is: 298,553.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,994.71 : 534,763.06 = 199,307.15 : x
  2. Step 2: Convert to fraction form
    356,994.71/534,763.06 = 199,307.15/x
  3. Step 3: Cross multiply
    356,994.71x = 534,763.06 × 199,307.15
  4. Step 4: Simplify right side
    356,994.71x = 106,582,101,413.88
  5. Step 5: Solve for x
    x = 106,582,101,413.88/356,994.71
  6. Step 6: Final answer
    x = 298,553.73

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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.