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Finding the Fourth Proportional to 496,006.32, 684,542.16 and 281,123.28

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Solution

The fourth proportional to 496,006.32, 684,542.16 and 281,123.28 is: 387,980.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,006.32 : 684,542.16 = 281,123.28 : x
  2. Step 2: Convert to fraction form
    496,006.32/684,542.16 = 281,123.28/x
  3. Step 3: Cross multiply
    496,006.32x = 684,542.16 × 281,123.28
  4. Step 4: Simplify right side
    496,006.32x = 192,440,737,317.49
  5. Step 5: Solve for x
    x = 192,440,737,317.49/496,006.32
  6. Step 6: Final answer
    x = 387,980.41

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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.