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Finding the Fourth Proportional to 492,569.83, 678,969.03 and 363,093.22

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Solution

The fourth proportional to 492,569.83, 678,969.03 and 363,093.22 is: 500,495.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,569.83 : 678,969.03 = 363,093.22 : x
  2. Step 2: Convert to fraction form
    492,569.83/678,969.03 = 363,093.22/x
  3. Step 3: Cross multiply
    492,569.83x = 678,969.03 × 363,093.22
  4. Step 4: Simplify right side
    492,569.83x = 246,529,051,382.98
  5. Step 5: Solve for x
    x = 246,529,051,382.98/492,569.83
  6. Step 6: Final answer
    x = 500,495.64

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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.