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Finding the Fourth Proportional to 410,749.84, 566,794.02 and 229,457.87

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Solution

The fourth proportional to 410,749.84, 566,794.02 and 229,457.87 is: 316,629.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,749.84 : 566,794.02 = 229,457.87 : x
  2. Step 2: Convert to fraction form
    410,749.84/566,794.02 = 229,457.87/x
  3. Step 3: Cross multiply
    410,749.84x = 566,794.02 × 229,457.87
  4. Step 4: Simplify right side
    410,749.84x = 130,055,348,557.94
  5. Step 5: Solve for x
    x = 130,055,348,557.94/410,749.84
  6. Step 6: Final answer
    x = 316,629.09

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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.