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Finding the Fourth Proportional to 274,402.34, 411,603.50 and 180,886.22

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Solution

The fourth proportional to 274,402.34, 411,603.50 and 180,886.22 is: 271,329.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,402.34 : 411,603.50 = 180,886.22 : x
  2. Step 2: Convert to fraction form
    274,402.34/411,603.50 = 180,886.22/x
  3. Step 3: Cross multiply
    274,402.34x = 411,603.50 × 180,886.22
  4. Step 4: Simplify right side
    274,402.34x = 74,453,398,291.32
  5. Step 5: Solve for x
    x = 74,453,398,291.32/274,402.34
  6. Step 6: Final answer
    x = 271,329.32

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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.