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Finding the Fourth Proportional to 766,966.32, 1,058,449.68 and 427,437

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Solution

The fourth proportional to 766,966.32, 1,058,449.68 and 427,437 is: 589,883.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    766,966.32 : 1,058,449.68 = 427,437 : x
  2. Step 2: Convert to fraction form
    766,966.32/1,058,449.68 = 427,437/x
  3. Step 3: Cross multiply
    766,966.32x = 1,058,449.68 × 427,437
  4. Step 4: Simplify right side
    766,966.32x = 452,420,555,870.16
  5. Step 5: Solve for x
    x = 452,420,555,870.16/766,966.32
  6. Step 6: Final answer
    x = 589,883.21

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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.