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Finding the Fourth Proportional to 496,401, 684,981.54 and 281,472.36

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Solution

The fourth proportional to 496,401, 684,981.54 and 281,472.36 is: 388,402.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,401 : 684,981.54 = 281,472.36 : x
  2. Step 2: Convert to fraction form
    496,401/684,981.54 = 281,472.36/x
  3. Step 3: Cross multiply
    496,401x = 684,981.54 × 281,472.36
  4. Step 4: Simplify right side
    496,401x = 192,803,370,620.23
  5. Step 5: Solve for x
    x = 192,803,370,620.23/496,401
  6. Step 6: Final answer
    x = 388,402.46

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.