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Finding the Fourth Proportional to 307,714.40, 461,571.60 and 189,000.80

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Solution

The fourth proportional to 307,714.40, 461,571.60 and 189,000.80 is: 283,501.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,714.40 : 461,571.60 = 189,000.80 : x
  2. Step 2: Convert to fraction form
    307,714.40/461,571.60 = 189,000.80/x
  3. Step 3: Cross multiply
    307,714.40x = 461,571.60 × 189,000.80
  4. Step 4: Simplify right side
    307,714.40x = 87,237,401,657.28
  5. Step 5: Solve for x
    x = 87,237,401,657.28/307,714.40
  6. Step 6: Final answer
    x = 283,501.20

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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.