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Finding the Fourth Proportional to 313,577.16, 470,396.84 and 100,291.48

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Solution

The fourth proportional to 313,577.16, 470,396.84 and 100,291.48 is: 150,447.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,577.16 : 470,396.84 = 100,291.48 : x
  2. Step 2: Convert to fraction form
    313,577.16/470,396.84 = 100,291.48/x
  3. Step 3: Cross multiply
    313,577.16x = 470,396.84 × 100,291.48
  4. Step 4: Simplify right side
    313,577.16x = 47,176,795,270.92
  5. Step 5: Solve for x
    x = 47,176,795,270.92/313,577.16
  6. Step 6: Final answer
    x = 150,447.17

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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.