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Finding the Fourth Proportional to 313,977.20, 470,994.60 and 103,615.60

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Solution

The fourth proportional to 313,977.20, 470,994.60 and 103,615.60 is: 155,432.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,977.20 : 470,994.60 = 103,615.60 : x
  2. Step 2: Convert to fraction form
    313,977.20/470,994.60 = 103,615.60/x
  3. Step 3: Cross multiply
    313,977.20x = 470,994.60 × 103,615.60
  4. Step 4: Simplify right side
    313,977.20x = 48,802,388,075.76
  5. Step 5: Solve for x
    x = 48,802,388,075.76/313,977.20
  6. Step 6: Final answer
    x = 155,432.90

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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.