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Finding the Fourth Proportional to 504,014.30, 756,021.45 and 204,638.30

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Solution

The fourth proportional to 504,014.30, 756,021.45 and 204,638.30 is: 306,957.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,014.30 : 756,021.45 = 204,638.30 : x
  2. Step 2: Convert to fraction form
    504,014.30/756,021.45 = 204,638.30/x
  3. Step 3: Cross multiply
    504,014.30x = 756,021.45 × 204,638.30
  4. Step 4: Simplify right side
    504,014.30x = 154,710,944,291.54
  5. Step 5: Solve for x
    x = 154,710,944,291.54/504,014.30
  6. Step 6: Final answer
    x = 306,957.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.