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Finding the Fourth Proportional to 309,597.36, 427,288.20 and 171,807.24

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Solution

The fourth proportional to 309,597.36, 427,288.20 and 171,807.24 is: 237,118.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,597.36 : 427,288.20 = 171,807.24 : x
  2. Step 2: Convert to fraction form
    309,597.36/427,288.20 = 171,807.24/x
  3. Step 3: Cross multiply
    309,597.36x = 427,288.20 × 171,807.24
  4. Step 4: Simplify right side
    309,597.36x = 73,411,206,326.57
  5. Step 5: Solve for x
    x = 73,411,206,326.57/309,597.36
  6. Step 6: Final answer
    x = 237,118.32

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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.