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Finding the Fourth Proportional to 1,298,824.96, 1,792,433.81 and 725,865.13

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Solution

The fourth proportional to 1,298,824.96, 1,792,433.81 and 725,865.13 is: 1,001,724.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,298,824.96 : 1,792,433.81 = 725,865.13 : x
  2. Step 2: Convert to fraction form
    1,298,824.96/1,792,433.81 = 725,865.13/x
  3. Step 3: Cross multiply
    1,298,824.96x = 1,792,433.81 × 725,865.13
  4. Step 4: Simplify right side
    1,298,824.96x = 1,301,065,200,512.05
  5. Step 5: Solve for x
    x = 1,301,065,200,512.05/1,298,824.96
  6. Step 6: Final answer
    x = 1,001,724.82

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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.