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Finding the Fourth Proportional to 1,411,218.07, 1,947,494.42 and 766,643.11

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Solution

The fourth proportional to 1,411,218.07, 1,947,494.42 and 766,643.11 is: 1,057,974.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,411,218.07 : 1,947,494.42 = 766,643.11 : x
  2. Step 2: Convert to fraction form
    1,411,218.07/1,947,494.42 = 766,643.11/x
  3. Step 3: Cross multiply
    1,411,218.07x = 1,947,494.42 × 766,643.11
  4. Step 4: Simplify right side
    1,411,218.07x = 1,493,033,178,856.45
  5. Step 5: Solve for x
    x = 1,493,033,178,856.45/1,411,218.07
  6. Step 6: Final answer
    x = 1,057,974.82

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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.