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Finding the Fourth Proportional to 346,138.60, 519,207.92 and 146,407.20

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Solution

The fourth proportional to 346,138.60, 519,207.92 and 146,407.20 is: 219,610.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,138.60 : 519,207.92 = 146,407.20 : x
  2. Step 2: Convert to fraction form
    346,138.60/519,207.92 = 146,407.20/x
  3. Step 3: Cross multiply
    346,138.60x = 519,207.92 × 146,407.20
  4. Step 4: Simplify right side
    346,138.60x = 76,015,777,785.02
  5. Step 5: Solve for x
    x = 76,015,777,785.02/346,138.60
  6. Step 6: Final answer
    x = 219,610.81

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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.