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Finding the Fourth Proportional to 496,094.83, 684,705.94 and 281,235.74

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Solution

The fourth proportional to 496,094.83, 684,705.94 and 281,235.74 is: 388,159.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,094.83 : 684,705.94 = 281,235.74 : x
  2. Step 2: Convert to fraction form
    496,094.83/684,705.94 = 281,235.74/x
  3. Step 3: Cross multiply
    496,094.83x = 684,705.94 × 281,235.74
  4. Step 4: Simplify right side
    496,094.83x = 192,563,777,591.68
  5. Step 5: Solve for x
    x = 192,563,777,591.68/496,094.83
  6. Step 6: Final answer
    x = 388,159.21

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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.