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Finding the Fourth Proportional to 655,413.84, 982,119.26 and 441,390.38

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Solution

The fourth proportional to 655,413.84, 982,119.26 and 441,390.38 is: 661,411.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    655,413.84 : 982,119.26 = 441,390.38 : x
  2. Step 2: Convert to fraction form
    655,413.84/982,119.26 = 441,390.38/x
  3. Step 3: Cross multiply
    655,413.84x = 982,119.26 × 441,390.38
  4. Step 4: Simplify right side
    655,413.84x = 433,497,989,569.60
  5. Step 5: Solve for x
    x = 433,497,989,569.60/655,413.84
  6. Step 6: Final answer
    x = 661,411.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.