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Finding the Fourth Proportional to 1,410,289.02, 1,946,209.01 and 765,709.65

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Solution

The fourth proportional to 1,410,289.02, 1,946,209.01 and 765,709.65 is: 1,056,684.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,410,289.02 : 1,946,209.01 = 765,709.65 : x
  2. Step 2: Convert to fraction form
    1,410,289.02/1,946,209.01 = 765,709.65/x
  3. Step 3: Cross multiply
    1,410,289.02x = 1,946,209.01 × 765,709.65
  4. Step 4: Simplify right side
    1,410,289.02x = 1,490,231,016,045.40
  5. Step 5: Solve for x
    x = 1,490,231,016,045.40/1,410,289.02
  6. Step 6: Final answer
    x = 1,056,684.83

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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.