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Finding the Fourth Proportional to 313,563.60, 470,209.32 and 113,817.60

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Solution

The fourth proportional to 313,563.60, 470,209.32 and 113,817.60 is: 170,677.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,563.60 : 470,209.32 = 113,817.60 : x
  2. Step 2: Convert to fraction form
    313,563.60/470,209.32 = 113,817.60/x
  3. Step 3: Cross multiply
    313,563.60x = 470,209.32 × 113,817.60
  4. Step 4: Simplify right side
    313,563.60x = 53,518,096,300.03
  5. Step 5: Solve for x
    x = 53,518,096,300.03/313,563.60
  6. Step 6: Final answer
    x = 170,677.01

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1.5x scale

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.