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Finding the Fourth Proportional to 309,684.60, 427,455.63 and 202,271.31

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Solution

The fourth proportional to 309,684.60, 427,455.63 and 202,271.31 is: 279,193.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,684.60 : 427,455.63 = 202,271.31 : x
  2. Step 2: Convert to fraction form
    309,684.60/427,455.63 = 202,271.31/x
  3. Step 3: Cross multiply
    309,684.60x = 427,455.63 × 202,271.31
  4. Step 4: Simplify right side
    309,684.60x = 86,462,010,246.98
  5. Step 5: Solve for x
    x = 86,462,010,246.98/309,684.60
  6. Step 6: Final answer
    x = 279,193.77

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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.