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Finding the Fourth Proportional to 331,047, 456,844.86 and 180,145.08

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Solution

The fourth proportional to 331,047, 456,844.86 and 180,145.08 is: 248,600.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,047 : 456,844.86 = 180,145.08 : x
  2. Step 2: Convert to fraction form
    331,047/456,844.86 = 180,145.08/x
  3. Step 3: Cross multiply
    331,047x = 456,844.86 × 180,145.08
  4. Step 4: Simplify right side
    331,047x = 82,298,353,852.29
  5. Step 5: Solve for x
    x = 82,298,353,852.29/331,047
  6. Step 6: Final answer
    x = 248,600.21

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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.