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Finding the Fourth Proportional to 294,015.08, 405,856.20 and 208,421.45

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Solution

The fourth proportional to 294,015.08, 405,856.20 and 208,421.45 is: 287,703.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,015.08 : 405,856.20 = 208,421.45 : x
  2. Step 2: Convert to fraction form
    294,015.08/405,856.20 = 208,421.45/x
  3. Step 3: Cross multiply
    294,015.08x = 405,856.20 × 208,421.45
  4. Step 4: Simplify right side
    294,015.08x = 84,589,138,216.54
  5. Step 5: Solve for x
    x = 84,589,138,216.54/294,015.08
  6. Step 6: Final answer
    x = 287,703.40

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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.