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Finding the Fourth Proportional to 461,558.43, 636,448.47 and 300,114.09

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Solution

The fourth proportional to 461,558.43, 636,448.47 and 300,114.09 is: 413,830.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,558.43 : 636,448.47 = 300,114.09 : x
  2. Step 2: Convert to fraction form
    461,558.43/636,448.47 = 300,114.09/x
  3. Step 3: Cross multiply
    461,558.43x = 636,448.47 × 300,114.09
  4. Step 4: Simplify right side
    461,558.43x = 191,007,153,405.94
  5. Step 5: Solve for x
    x = 191,007,153,405.94/461,558.43
  6. Step 6: Final answer
    x = 413,830.93

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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.