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Finding the Fourth Proportional to 496,041.84, 684,523.44 and 281,201.76

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Solution

The fourth proportional to 496,041.84, 684,523.44 and 281,201.76 is: 388,050.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,041.84 : 684,523.44 = 281,201.76 : x
  2. Step 2: Convert to fraction form
    496,041.84/684,523.44 = 281,201.76/x
  3. Step 3: Cross multiply
    496,041.84x = 684,523.44 × 281,201.76
  4. Step 4: Simplify right side
    496,041.84x = 192,489,196,089.25
  5. Step 5: Solve for x
    x = 192,489,196,089.25/496,041.84
  6. Step 6: Final answer
    x = 388,050.32

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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.