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Finding the Fourth Proportional to 511,457.28, 706,113.44 and 454,711.60

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Solution

The fourth proportional to 511,457.28, 706,113.44 and 454,711.60 is: 627,770.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,457.28 : 706,113.44 = 454,711.60 : x
  2. Step 2: Convert to fraction form
    511,457.28/706,113.44 = 454,711.60/x
  3. Step 3: Cross multiply
    511,457.28x = 706,113.44 × 454,711.60
  4. Step 4: Simplify right side
    511,457.28x = 321,077,972,083.90
  5. Step 5: Solve for x
    x = 321,077,972,083.90/511,457.28
  6. Step 6: Final answer
    x = 627,770.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.