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Finding the Fourth Proportional to 422,833.61, 633,006.25 and 282,243.53

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Solution

The fourth proportional to 422,833.61, 633,006.25 and 282,243.53 is: 422,534.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,833.61 : 633,006.25 = 282,243.53 : x
  2. Step 2: Convert to fraction form
    422,833.61/633,006.25 = 282,243.53/x
  3. Step 3: Cross multiply
    422,833.61x = 633,006.25 × 282,243.53
  4. Step 4: Simplify right side
    422,833.61x = 178,661,914,641.42
  5. Step 5: Solve for x
    x = 178,661,914,641.42/422,833.61
  6. Step 6: Final answer
    x = 422,534.80

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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.