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Finding the Fourth Proportional to 313,401.60, 470,102.40 and 76,746.60

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Solution

The fourth proportional to 313,401.60, 470,102.40 and 76,746.60 is: 115,119.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,401.60 : 470,102.40 = 76,746.60 : x
  2. Step 2: Convert to fraction form
    313,401.60/470,102.40 = 76,746.60/x
  3. Step 3: Cross multiply
    313,401.60x = 470,102.40 × 76,746.60
  4. Step 4: Simplify right side
    313,401.60x = 36,078,760,851.84
  5. Step 5: Solve for x
    x = 36,078,760,851.84/313,401.60
  6. Step 6: Final answer
    x = 115,119.90

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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.