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Finding the Fourth Proportional to 1,410,511.12, 1,946,509.28 and 765,942.08

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Solution

The fourth proportional to 1,410,511.12, 1,946,509.28 and 765,942.08 is: 1,057,002.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,410,511.12 : 1,946,509.28 = 765,942.08 : x
  2. Step 2: Convert to fraction form
    1,410,511.12/1,946,509.28 = 765,942.08/x
  3. Step 3: Cross multiply
    1,410,511.12x = 1,946,509.28 × 765,942.08
  4. Step 4: Simplify right side
    1,410,511.12x = 1,490,913,355,972.53
  5. Step 5: Solve for x
    x = 1,490,913,355,972.53/1,410,511.12
  6. Step 6: Final answer
    x = 1,057,002.20

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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.