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Finding the Fourth Proportional to 413,323.34, 620,043.34 and 147,005.06

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Solution

The fourth proportional to 413,323.34, 620,043.34 and 147,005.06 is: 220,528.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,323.34 : 620,043.34 = 147,005.06 : x
  2. Step 2: Convert to fraction form
    413,323.34/620,043.34 = 147,005.06/x
  3. Step 3: Cross multiply
    413,323.34x = 620,043.34 × 147,005.06
  4. Step 4: Simplify right side
    413,323.34x = 91,149,508,399.30
  5. Step 5: Solve for x
    x = 91,149,508,399.30/413,323.34
  6. Step 6: Final answer
    x = 220,528.34

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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.