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Finding the Fourth Proportional to 415,364.50, 623,046.69 and 99,821.41

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Solution

The fourth proportional to 415,364.50, 623,046.69 and 99,821.41 is: 149,732.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,364.50 : 623,046.69 = 99,821.41 : x
  2. Step 2: Convert to fraction form
    415,364.50/623,046.69 = 99,821.41/x
  3. Step 3: Cross multiply
    415,364.50x = 623,046.69 × 99,821.41
  4. Step 4: Simplify right side
    415,364.50x = 62,193,399,091.63
  5. Step 5: Solve for x
    x = 62,193,399,091.63/415,364.50
  6. Step 6: Final answer
    x = 149,732.10

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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.