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Finding the Fourth Proportional to 313,971.80, 470,957.70 and 207,683.60

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Solution

The fourth proportional to 313,971.80, 470,957.70 and 207,683.60 is: 311,525.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,971.80 : 470,957.70 = 207,683.60 : x
  2. Step 2: Convert to fraction form
    313,971.80/470,957.70 = 207,683.60/x
  3. Step 3: Cross multiply
    313,971.80x = 470,957.70 × 207,683.60
  4. Step 4: Simplify right side
    313,971.80x = 97,810,190,583.72
  5. Step 5: Solve for x
    x = 97,810,190,583.72/313,971.80
  6. Step 6: Final answer
    x = 311,525.40

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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.