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Finding the Fourth Proportional to 313,822.80, 470,734.20 and 103,433.40

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Solution

The fourth proportional to 313,822.80, 470,734.20 and 103,433.40 is: 155,150.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,822.80 : 470,734.20 = 103,433.40 : x
  2. Step 2: Convert to fraction form
    313,822.80/470,734.20 = 103,433.40/x
  3. Step 3: Cross multiply
    313,822.80x = 470,734.20 × 103,433.40
  4. Step 4: Simplify right side
    313,822.80x = 48,689,638,802.28
  5. Step 5: Solve for x
    x = 48,689,638,802.28/313,822.80
  6. Step 6: Final answer
    x = 155,150.10

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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.