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Finding the Fourth Proportional to 357,184.08, 492,928.32 and 204,247.20

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Solution

The fourth proportional to 357,184.08, 492,928.32 and 204,247.20 is: 281,869.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,184.08 : 492,928.32 = 204,247.20 : x
  2. Step 2: Convert to fraction form
    357,184.08/492,928.32 = 204,247.20/x
  3. Step 3: Cross multiply
    357,184.08x = 492,928.32 × 204,247.20
  4. Step 4: Simplify right side
    357,184.08x = 100,679,229,160.70
  5. Step 5: Solve for x
    x = 100,679,229,160.70/357,184.08
  6. Step 6: Final answer
    x = 281,869.31

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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.