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Finding the Fourth Proportional to 314,382.45, 433,907.57 and 178,429.12

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Solution

The fourth proportional to 314,382.45, 433,907.57 and 178,429.12 is: 246,266.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,382.45 : 433,907.57 = 178,429.12 : x
  2. Step 2: Convert to fraction form
    314,382.45/433,907.57 = 178,429.12/x
  3. Step 3: Cross multiply
    314,382.45x = 433,907.57 × 178,429.12
  4. Step 4: Simplify right side
    314,382.45x = 77,421,745,876.44
  5. Step 5: Solve for x
    x = 77,421,745,876.44/314,382.45
  6. Step 6: Final answer
    x = 246,266.12

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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.