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Finding the Fourth Proportional to 313,904.30, 470,683.64 and 103,433.90

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Solution

The fourth proportional to 313,904.30, 470,683.64 and 103,433.90 is: 155,093.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,904.30 : 470,683.64 = 103,433.90 : x
  2. Step 2: Convert to fraction form
    313,904.30/470,683.64 = 103,433.90/x
  3. Step 3: Cross multiply
    313,904.30x = 470,683.64 × 103,433.90
  4. Step 4: Simplify right side
    313,904.30x = 48,684,644,551.40
  5. Step 5: Solve for x
    x = 48,684,644,551.40/313,904.30
  6. Step 6: Final answer
    x = 155,093.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.