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Finding the Fourth Proportional to 314,581.32, 471,497.36 and 181,185.26

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Solution

The fourth proportional to 314,581.32, 471,497.36 and 181,185.26 is: 271,562.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,581.32 : 471,497.36 = 181,185.26 : x
  2. Step 2: Convert to fraction form
    314,581.32/471,497.36 = 181,185.26/x
  3. Step 3: Cross multiply
    314,581.32x = 471,497.36 × 181,185.26
  4. Step 4: Simplify right side
    314,581.32x = 85,428,368,497.50
  5. Step 5: Solve for x
    x = 85,428,368,497.50/314,581.32
  6. Step 6: Final answer
    x = 271,562.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.