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Finding the Fourth Proportional to 462,474.63, 638,321.58 and 301,048.47

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Solution

The fourth proportional to 462,474.63, 638,321.58 and 301,048.47 is: 415,516.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,474.63 : 638,321.58 = 301,048.47 : x
  2. Step 2: Convert to fraction form
    462,474.63/638,321.58 = 301,048.47/x
  3. Step 3: Cross multiply
    462,474.63x = 638,321.58 × 301,048.47
  4. Step 4: Simplify right side
    462,474.63x = 192,165,735,026.98
  5. Step 5: Solve for x
    x = 192,165,735,026.98/462,474.63
  6. Step 6: Final answer
    x = 415,516.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.