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Finding the Fourth Proportional to 525,942.15, 725,800.40 and 284,224.65

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Solution

The fourth proportional to 525,942.15, 725,800.40 and 284,224.65 is: 392,230.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,942.15 : 725,800.40 = 284,224.65 : x
  2. Step 2: Convert to fraction form
    525,942.15/725,800.40 = 284,224.65/x
  3. Step 3: Cross multiply
    525,942.15x = 725,800.40 × 284,224.65
  4. Step 4: Simplify right side
    525,942.15x = 206,290,364,659.86
  5. Step 5: Solve for x
    x = 206,290,364,659.86/525,942.15
  6. Step 6: Final answer
    x = 392,230.14

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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.