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Finding the Fourth Proportional to 1,412,902.76, 1,949,857.14 and 809,407.40

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Solution

The fourth proportional to 1,412,902.76, 1,949,857.14 and 809,407.40 is: 1,117,011.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,412,902.76 : 1,949,857.14 = 809,407.40 : x
  2. Step 2: Convert to fraction form
    1,412,902.76/1,949,857.14 = 809,407.40/x
  3. Step 3: Cross multiply
    1,412,902.76x = 1,949,857.14 × 809,407.40
  4. Step 4: Simplify right side
    1,412,902.76x = 1,578,228,798,058.84
  5. Step 5: Solve for x
    x = 1,578,228,798,058.84/1,412,902.76
  6. Step 6: Final answer
    x = 1,117,011.62

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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.