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Finding the Fourth Proportional to 299,216.68, 412,779.96 and 178,290.16

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Solution

The fourth proportional to 299,216.68, 412,779.96 and 178,290.16 is: 245,957.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,216.68 : 412,779.96 = 178,290.16 : x
  2. Step 2: Convert to fraction form
    299,216.68/412,779.96 = 178,290.16/x
  3. Step 3: Cross multiply
    299,216.68x = 412,779.96 × 178,290.16
  4. Step 4: Simplify right side
    299,216.68x = 73,594,605,113.19
  5. Step 5: Solve for x
    x = 73,594,605,113.19/299,216.68
  6. Step 6: Final answer
    x = 245,957.56

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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.