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Finding the Fourth Proportional to 366,477.87, 505,705.24 and 205,298.74

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Solution

The fourth proportional to 366,477.87, 505,705.24 and 205,298.74 is: 283,293.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,477.87 : 505,705.24 = 205,298.74 : x
  2. Step 2: Convert to fraction form
    366,477.87/505,705.24 = 205,298.74/x
  3. Step 3: Cross multiply
    366,477.87x = 505,705.24 × 205,298.74
  4. Step 4: Simplify right side
    366,477.87x = 103,820,648,583.40
  5. Step 5: Solve for x
    x = 103,820,648,583.40/366,477.87
  6. Step 6: Final answer
    x = 283,293.09

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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.