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Finding the Fourth Proportional to 313,483.13, 470,242.46 and 100,269.77

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Solution

The fourth proportional to 313,483.13, 470,242.46 and 100,269.77 is: 150,410.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,483.13 : 470,242.46 = 100,269.77 : x
  2. Step 2: Convert to fraction form
    313,483.13/470,242.46 = 100,269.77/x
  3. Step 3: Cross multiply
    313,483.13x = 470,242.46 × 100,269.77
  4. Step 4: Simplify right side
    313,483.13x = 47,151,101,207.90
  5. Step 5: Solve for x
    x = 47,151,101,207.90/313,483.13
  6. Step 6: Final answer
    x = 150,410.33

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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.