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Finding the Fourth Proportional to 362,654.51, 500,307.99 and 226,452

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Solution

The fourth proportional to 362,654.51, 500,307.99 and 226,452 is: 312,406.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,654.51 : 500,307.99 = 226,452 : x
  2. Step 2: Convert to fraction form
    362,654.51/500,307.99 = 226,452/x
  3. Step 3: Cross multiply
    362,654.51x = 500,307.99 × 226,452
  4. Step 4: Simplify right side
    362,654.51x = 113,295,744,951.48
  5. Step 5: Solve for x
    x = 113,295,744,951.48/362,654.51
  6. Step 6: Final answer
    x = 312,406.83

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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.