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Finding the Fourth Proportional to 525,998, 725,877.24 and 299,643.50

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Solution

The fourth proportional to 525,998, 725,877.24 and 299,643.50 is: 413,508.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,998 : 725,877.24 = 299,643.50 : x
  2. Step 2: Convert to fraction form
    525,998/725,877.24 = 299,643.50/x
  3. Step 3: Cross multiply
    525,998x = 725,877.24 × 299,643.50
  4. Step 4: Simplify right side
    525,998x = 217,504,396,763.94
  5. Step 5: Solve for x
    x = 217,504,396,763.94/525,998
  6. Step 6: Final answer
    x = 413,508.03

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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.