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Finding the Fourth Proportional to 313,460.80, 470,266.80 and 103,087.60

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Solution

The fourth proportional to 313,460.80, 470,266.80 and 103,087.60 is: 154,656.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,460.80 : 470,266.80 = 103,087.60 : x
  2. Step 2: Convert to fraction form
    313,460.80/470,266.80 = 103,087.60/x
  3. Step 3: Cross multiply
    313,460.80x = 470,266.80 × 103,087.60
  4. Step 4: Simplify right side
    313,460.80x = 48,478,675,771.68
  5. Step 5: Solve for x
    x = 48,478,675,771.68/313,460.80
  6. Step 6: Final answer
    x = 154,656.26

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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.