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Finding the Fourth Proportional to 313,266.64, 432,111.28 and 185,852

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Solution

The fourth proportional to 313,266.64, 432,111.28 and 185,852 is: 256,359.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,266.64 : 432,111.28 = 185,852 : x
  2. Step 2: Convert to fraction form
    313,266.64/432,111.28 = 185,852/x
  3. Step 3: Cross multiply
    313,266.64x = 432,111.28 × 185,852
  4. Step 4: Simplify right side
    313,266.64x = 80,308,745,610.56
  5. Step 5: Solve for x
    x = 80,308,745,610.56/313,266.64
  6. Step 6: Final answer
    x = 256,359.07

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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.