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Finding the Fourth Proportional to 392,760, 542,009.88 and 223,020.72

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Solution

The fourth proportional to 392,760, 542,009.88 and 223,020.72 is: 307,769.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,760 : 542,009.88 = 223,020.72 : x
  2. Step 2: Convert to fraction form
    392,760/542,009.88 = 223,020.72/x
  3. Step 3: Cross multiply
    392,760x = 542,009.88 × 223,020.72
  4. Step 4: Simplify right side
    392,760x = 120,879,433,684.71
  5. Step 5: Solve for x
    x = 120,879,433,684.71/392,760
  6. Step 6: Final answer
    x = 307,769.21

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.