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Finding the Fourth Proportional to 336,032.20, 504,137.40 and 146,411.20

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Solution

The fourth proportional to 336,032.20, 504,137.40 and 146,411.20 is: 219,655.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,032.20 : 504,137.40 = 146,411.20 : x
  2. Step 2: Convert to fraction form
    336,032.20/504,137.40 = 146,411.20/x
  3. Step 3: Cross multiply
    336,032.20x = 504,137.40 × 146,411.20
  4. Step 4: Simplify right side
    336,032.20x = 73,811,361,698.88
  5. Step 5: Solve for x
    x = 73,811,361,698.88/336,032.20
  6. Step 6: Final answer
    x = 219,655.62

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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.