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Finding the Fourth Proportional to 766,967.32, 1,058,451.06 and 427,438

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Solution

The fourth proportional to 766,967.32, 1,058,451.06 and 427,438 is: 589,884.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    766,967.32 : 1,058,451.06 = 427,438 : x
  2. Step 2: Convert to fraction form
    766,967.32/1,058,451.06 = 427,438/x
  3. Step 3: Cross multiply
    766,967.32x = 1,058,451.06 × 427,438
  4. Step 4: Simplify right side
    766,967.32x = 452,422,204,184.28
  5. Step 5: Solve for x
    x = 452,422,204,184.28/766,967.32
  6. Step 6: Final answer
    x = 589,884.59

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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.