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Finding the Fourth Proportional to 362,152.30, 543,228.45 and 212,464.30

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Solution

The fourth proportional to 362,152.30, 543,228.45 and 212,464.30 is: 318,696.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,152.30 : 543,228.45 = 212,464.30 : x
  2. Step 2: Convert to fraction form
    362,152.30/543,228.45 = 212,464.30/x
  3. Step 3: Cross multiply
    362,152.30x = 543,228.45 × 212,464.30
  4. Step 4: Simplify right side
    362,152.30x = 115,416,652,369.34
  5. Step 5: Solve for x
    x = 115,416,652,369.34/362,152.30
  6. Step 6: Final answer
    x = 318,696.45

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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.