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Finding the Fourth Proportional to 525,948.69, 725,809.41 and 284,231.19

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Solution

The fourth proportional to 525,948.69, 725,809.41 and 284,231.19 is: 392,239.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,948.69 : 725,809.41 = 284,231.19 : x
  2. Step 2: Convert to fraction form
    525,948.69/725,809.41 = 284,231.19/x
  3. Step 3: Cross multiply
    525,948.69x = 725,809.41 × 284,231.19
  4. Step 4: Simplify right side
    525,948.69x = 206,297,672,317.50
  5. Step 5: Solve for x
    x = 206,297,672,317.50/525,948.69
  6. Step 6: Final answer
    x = 392,239.16

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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.