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Finding the Fourth Proportional to 310,385.40, 465,578.10 and 184,414.20

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Solution

The fourth proportional to 310,385.40, 465,578.10 and 184,414.20 is: 276,621.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,385.40 : 465,578.10 = 184,414.20 : x
  2. Step 2: Convert to fraction form
    310,385.40/465,578.10 = 184,414.20/x
  3. Step 3: Cross multiply
    310,385.40x = 465,578.10 × 184,414.20
  4. Step 4: Simplify right side
    310,385.40x = 85,859,212,849.02
  5. Step 5: Solve for x
    x = 85,859,212,849.02/310,385.40
  6. Step 6: Final answer
    x = 276,621.30

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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.