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Finding the Fourth Proportional to 507,607.46, 761,507.25 and 204,025.23

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Solution

The fourth proportional to 507,607.46, 761,507.25 and 204,025.23 is: 306,076.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,607.46 : 761,507.25 = 204,025.23 : x
  2. Step 2: Convert to fraction form
    507,607.46/761,507.25 = 204,025.23/x
  3. Step 3: Cross multiply
    507,607.46x = 761,507.25 × 204,025.23
  4. Step 4: Simplify right side
    507,607.46x = 155,366,691,636.64
  5. Step 5: Solve for x
    x = 155,366,691,636.64/507,607.46
  6. Step 6: Final answer
    x = 306,076.46

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.