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Finding the Fourth Proportional to 340,116.36, 509,836.01 and 162,415.63

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Solution

The fourth proportional to 340,116.36, 509,836.01 and 162,415.63 is: 243,461.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,116.36 : 509,836.01 = 162,415.63 : x
  2. Step 2: Convert to fraction form
    340,116.36/509,836.01 = 162,415.63/x
  3. Step 3: Cross multiply
    340,116.36x = 509,836.01 × 162,415.63
  4. Step 4: Simplify right side
    340,116.36x = 82,805,334,211.66
  5. Step 5: Solve for x
    x = 82,805,334,211.66/340,116.36
  6. Step 6: Final answer
    x = 243,461.78

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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.