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Finding the Fourth Proportional to 1,410,762.62, 1,946,870.13 and 766,193.58

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Solution

The fourth proportional to 1,410,762.62, 1,946,870.13 and 766,193.58 is: 1,057,356.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,410,762.62 : 1,946,870.13 = 766,193.58 : x
  2. Step 2: Convert to fraction form
    1,410,762.62/1,946,870.13 = 766,193.58/x
  3. Step 3: Cross multiply
    1,410,762.62x = 1,946,870.13 × 766,193.58
  4. Step 4: Simplify right side
    1,410,762.62x = 1,491,679,397,572.99
  5. Step 5: Solve for x
    x = 1,491,679,397,572.99/1,410,762.62
  6. Step 6: Final answer
    x = 1,057,356.76

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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.