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Finding the Fourth Proportional to 410,745.09, 566,787.47 and 229,453.13

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Solution

The fourth proportional to 410,745.09, 566,787.47 and 229,453.13 is: 316,622.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,745.09 : 566,787.47 = 229,453.13 : x
  2. Step 2: Convert to fraction form
    410,745.09/566,787.47 = 229,453.13/x
  3. Step 3: Cross multiply
    410,745.09x = 566,787.47 × 229,453.13
  4. Step 4: Simplify right side
    410,745.09x = 130,051,155,055.08
  5. Step 5: Solve for x
    x = 130,051,155,055.08/410,745.09
  6. Step 6: Final answer
    x = 316,622.54

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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.