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Finding the Fourth Proportional to 410,844.66, 566,955.03 and 229,558.08

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Solution

The fourth proportional to 410,844.66, 566,955.03 and 229,558.08 is: 316,784.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,844.66 : 566,955.03 = 229,558.08 : x
  2. Step 2: Convert to fraction form
    410,844.66/566,955.03 = 229,558.08/x
  3. Step 3: Cross multiply
    410,844.66x = 566,955.03 × 229,558.08
  4. Step 4: Simplify right side
    410,844.66x = 130,149,108,133.14
  5. Step 5: Solve for x
    x = 130,149,108,133.14/410,844.66
  6. Step 6: Final answer
    x = 316,784.23

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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.