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Finding the Fourth Proportional to 295,978.60, 443,676.30 and 146,096.20

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Solution

The fourth proportional to 295,978.60, 443,676.30 and 146,096.20 is: 219,000.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,978.60 : 443,676.30 = 146,096.20 : x
  2. Step 2: Convert to fraction form
    295,978.60/443,676.30 = 146,096.20/x
  3. Step 3: Cross multiply
    295,978.60x = 443,676.30 × 146,096.20
  4. Step 4: Simplify right side
    295,978.60x = 64,819,421,460.06
  5. Step 5: Solve for x
    x = 64,819,421,460.06/295,978.60
  6. Step 6: Final answer
    x = 219,000.37

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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.