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Finding the Fourth Proportional to 427,887.56, 590,493.85 and 234,303.44

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Solution

The fourth proportional to 427,887.56, 590,493.85 and 234,303.44 is: 323,343.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,887.56 : 590,493.85 = 234,303.44 : x
  2. Step 2: Convert to fraction form
    427,887.56/590,493.85 = 234,303.44/x
  3. Step 3: Cross multiply
    427,887.56x = 590,493.85 × 234,303.44
  4. Step 4: Simplify right side
    427,887.56x = 138,354,736,815.62
  5. Step 5: Solve for x
    x = 138,354,736,815.62/427,887.56
  6. Step 6: Final answer
    x = 323,343.67

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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.