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Finding the Fourth Proportional to 413,676.56, 620,339.16 and 147,504.08

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Solution

The fourth proportional to 413,676.56, 620,339.16 and 147,504.08 is: 221,193.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,676.56 : 620,339.16 = 147,504.08 : x
  2. Step 2: Convert to fraction form
    413,676.56/620,339.16 = 147,504.08/x
  3. Step 3: Cross multiply
    413,676.56x = 620,339.16 × 147,504.08
  4. Step 4: Simplify right side
    413,676.56x = 91,502,557,083.77
  5. Step 5: Solve for x
    x = 91,502,557,083.77/413,676.56
  6. Step 6: Final answer
    x = 221,193.48

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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.