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Finding the Fourth Proportional to 698,562, 964,015.56 and 380,610

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Solution

The fourth proportional to 698,562, 964,015.56 and 380,610 is: 525,241.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    698,562 : 964,015.56 = 380,610 : x
  2. Step 2: Convert to fraction form
    698,562/964,015.56 = 380,610/x
  3. Step 3: Cross multiply
    698,562x = 964,015.56 × 380,610
  4. Step 4: Simplify right side
    698,562x = 366,913,962,291.60
  5. Step 5: Solve for x
    x = 366,913,962,291.60/698,562
  6. Step 6: Final answer
    x = 525,241.80

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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.