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Finding the Fourth Proportional to 366,501.60, 505,771.86 and 205,357.77

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Solution

The fourth proportional to 366,501.60, 505,771.86 and 205,357.77 is: 283,393.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,501.60 : 505,771.86 = 205,357.77 : x
  2. Step 2: Convert to fraction form
    366,501.60/505,771.86 = 205,357.77/x
  3. Step 3: Cross multiply
    366,501.60x = 505,771.86 × 205,357.77
  4. Step 4: Simplify right side
    366,501.60x = 103,864,181,298.35
  5. Step 5: Solve for x
    x = 103,864,181,298.35/366,501.60
  6. Step 6: Final answer
    x = 283,393.53

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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.