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Finding the Fourth Proportional to 313,905.80, 470,858.70 and 207,617.60

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Solution

The fourth proportional to 313,905.80, 470,858.70 and 207,617.60 is: 311,426.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,905.80 : 470,858.70 = 207,617.60 : x
  2. Step 2: Convert to fraction form
    313,905.80/470,858.70 = 207,617.60/x
  3. Step 3: Cross multiply
    313,905.80x = 470,858.70 × 207,617.60
  4. Step 4: Simplify right side
    313,905.80x = 97,758,553,233.12
  5. Step 5: Solve for x
    x = 97,758,553,233.12/313,905.80
  6. Step 6: Final answer
    x = 311,426.40

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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.