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Finding the Fourth Proportional to 1,410,913.19, 1,947,065.78 and 766,344.15

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Solution

The fourth proportional to 1,410,913.19, 1,947,065.78 and 766,344.15 is: 1,057,557.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,410,913.19 : 1,947,065.78 = 766,344.15 : x
  2. Step 2: Convert to fraction form
    1,410,913.19/1,947,065.78 = 766,344.15/x
  3. Step 3: Cross multiply
    1,410,913.19x = 1,947,065.78 × 766,344.15
  4. Step 4: Simplify right side
    1,410,913.19x = 1,492,122,472,084.05
  5. Step 5: Solve for x
    x = 1,492,122,472,084.05/1,410,913.19
  6. Step 6: Final answer
    x = 1,057,557.96

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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.