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Finding the Fourth Proportional to 365,107.06, 546,328.41 and 215,419.06

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Solution

The fourth proportional to 365,107.06, 546,328.41 and 215,419.06 is: 322,342.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,107.06 : 546,328.41 = 215,419.06 : x
  2. Step 2: Convert to fraction form
    365,107.06/546,328.41 = 215,419.06/x
  3. Step 3: Cross multiply
    365,107.06x = 546,328.41 × 215,419.06
  4. Step 4: Simplify right side
    365,107.06x = 117,689,552,533.50
  5. Step 5: Solve for x
    x = 117,689,552,533.50/365,107.06
  6. Step 6: Final answer
    x = 322,342.58

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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.