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Finding the Fourth Proportional to 1,412,901.76, 1,949,855.76 and 809,406.40

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Solution

The fourth proportional to 1,412,901.76, 1,949,855.76 and 809,406.40 is: 1,117,010.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,412,901.76 : 1,949,855.76 = 809,406.40 : x
  2. Step 2: Convert to fraction form
    1,412,901.76/1,949,855.76 = 809,406.40/x
  3. Step 3: Cross multiply
    1,412,901.76x = 1,949,855.76 × 809,406.40
  4. Step 4: Simplify right side
    1,412,901.76x = 1,578,225,731,220.86
  5. Step 5: Solve for x
    x = 1,578,225,731,220.86/1,412,901.76
  6. Step 6: Final answer
    x = 1,117,010.24

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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.