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Finding the Fourth Proportional to 345,885.20, 518,539.80 and 146,358.80

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Solution

The fourth proportional to 345,885.20, 518,539.80 and 146,358.80 is: 219,416.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,885.20 : 518,539.80 = 146,358.80 : x
  2. Step 2: Convert to fraction form
    345,885.20/518,539.80 = 146,358.80/x
  3. Step 3: Cross multiply
    345,885.20x = 518,539.80 × 146,358.80
  4. Step 4: Simplify right side
    345,885.20x = 75,892,862,880.24
  5. Step 5: Solve for x
    x = 75,892,862,880.24/345,885.20
  6. Step 6: Final answer
    x = 219,416.33

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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.