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Finding the Fourth Proportional to 307,967.10, 461,605.05 and 174,911.10

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Solution

The fourth proportional to 307,967.10, 461,605.05 and 174,911.10 is: 262,170.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,967.10 : 461,605.05 = 174,911.10 : x
  2. Step 2: Convert to fraction form
    307,967.10/461,605.05 = 174,911.10/x
  3. Step 3: Cross multiply
    307,967.10x = 461,605.05 × 174,911.10
  4. Step 4: Simplify right side
    307,967.10x = 80,739,847,061.06
  5. Step 5: Solve for x
    x = 80,739,847,061.06/307,967.10
  6. Step 6: Final answer
    x = 262,170.37

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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.