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Finding the Fourth Proportional to 1,411,204.32, 1,947,475.44 and 766,629.36

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Solution

The fourth proportional to 1,411,204.32, 1,947,475.44 and 766,629.36 is: 1,057,955.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,411,204.32 : 1,947,475.44 = 766,629.36 : x
  2. Step 2: Convert to fraction form
    1,411,204.32/1,947,475.44 = 766,629.36/x
  3. Step 3: Cross multiply
    1,411,204.32x = 1,947,475.44 × 766,629.36
  4. Step 4: Simplify right side
    1,411,204.32x = 1,492,991,850,182.92
  5. Step 5: Solve for x
    x = 1,492,991,850,182.92/1,411,204.32
  6. Step 6: Final answer
    x = 1,057,955.84

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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.