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Finding the Fourth Proportional to 313,756.36, 470,630.40 and 77,101.12

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Solution

The fourth proportional to 313,756.36, 470,630.40 and 77,101.12 is: 115,650.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,756.36 : 470,630.40 = 77,101.12 : x
  2. Step 2: Convert to fraction form
    313,756.36/470,630.40 = 77,101.12/x
  3. Step 3: Cross multiply
    313,756.36x = 470,630.40 × 77,101.12
  4. Step 4: Simplify right side
    313,756.36x = 36,286,130,946.05
  5. Step 5: Solve for x
    x = 36,286,130,946.05/313,756.36
  6. Step 6: Final answer
    x = 115,650.66

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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.