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Finding the Fourth Proportional to 291,457.36, 402,228.30 and 178,301.80

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Solution

The fourth proportional to 291,457.36, 402,228.30 and 178,301.80 is: 246,066.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,457.36 : 402,228.30 = 178,301.80 : x
  2. Step 2: Convert to fraction form
    291,457.36/402,228.30 = 178,301.80/x
  3. Step 3: Cross multiply
    291,457.36x = 402,228.30 × 178,301.80
  4. Step 4: Simplify right side
    291,457.36x = 71,718,029,900.94
  5. Step 5: Solve for x
    x = 71,718,029,900.94/291,457.36
  6. Step 6: Final answer
    x = 246,066.97

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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.