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Finding the Fourth Proportional to 413,573.76, 620,021.60 and 147,182.58

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Solution

The fourth proportional to 413,573.76, 620,021.60 and 147,182.58 is: 220,653.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,573.76 : 620,021.60 = 147,182.58 : x
  2. Step 2: Convert to fraction form
    413,573.76/620,021.60 = 147,182.58/x
  3. Step 3: Cross multiply
    413,573.76x = 620,021.60 × 147,182.58
  4. Step 4: Simplify right side
    413,573.76x = 91,256,378,007.82
  5. Step 5: Solve for x
    x = 91,256,378,007.82/413,573.76
  6. Step 6: Final answer
    x = 220,653.21

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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.