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Finding the Fourth Proportional to 470,353.50, 649,094.81 and 266,399.34

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Solution

The fourth proportional to 470,353.50, 649,094.81 and 266,399.34 is: 367,635.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,353.50 : 649,094.81 = 266,399.34 : x
  2. Step 2: Convert to fraction form
    470,353.50/649,094.81 = 266,399.34/x
  3. Step 3: Cross multiply
    470,353.50x = 649,094.81 × 266,399.34
  4. Step 4: Simplify right side
    470,353.50x = 172,918,427,649.43
  5. Step 5: Solve for x
    x = 172,918,427,649.43/470,353.50
  6. Step 6: Final answer
    x = 367,635.04

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.