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Finding the Fourth Proportional to 1,409,664.76, 1,945,338.21 and 765,084.96

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Solution

The fourth proportional to 1,409,664.76, 1,945,338.21 and 765,084.96 is: 1,055,817.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,409,664.76 : 1,945,338.21 = 765,084.96 : x
  2. Step 2: Convert to fraction form
    1,409,664.76/1,945,338.21 = 765,084.96/x
  3. Step 3: Cross multiply
    1,409,664.76x = 1,945,338.21 × 765,084.96
  4. Step 4: Simplify right side
    1,409,664.76x = 1,488,349,006,584.32
  5. Step 5: Solve for x
    x = 1,488,349,006,584.32/1,409,664.76
  6. Step 6: Final answer
    x = 1,055,817.70

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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.