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Finding the Fourth Proportional to 313,897.40, 470,846.10 and 126,812.60

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Solution

The fourth proportional to 313,897.40, 470,846.10 and 126,812.60 is: 190,218.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,897.40 : 470,846.10 = 126,812.60 : x
  2. Step 2: Convert to fraction form
    313,897.40/470,846.10 = 126,812.60/x
  3. Step 3: Cross multiply
    313,897.40x = 470,846.10 × 126,812.60
  4. Step 4: Simplify right side
    313,897.40x = 59,709,218,140.86
  5. Step 5: Solve for x
    x = 59,709,218,140.86/313,897.40
  6. Step 6: Final answer
    x = 190,218.90

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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.