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Finding the Fourth Proportional to 713,029.44, 984,428.04 and 458,822.40

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Solution

The fourth proportional to 713,029.44, 984,428.04 and 458,822.40 is: 633,462.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,029.44 : 984,428.04 = 458,822.40 : x
  2. Step 2: Convert to fraction form
    713,029.44/984,428.04 = 458,822.40/x
  3. Step 3: Cross multiply
    713,029.44x = 984,428.04 × 458,822.40
  4. Step 4: Simplify right side
    713,029.44x = 451,677,635,940.10
  5. Step 5: Solve for x
    x = 451,677,635,940.10/713,029.44
  6. Step 6: Final answer
    x = 633,462.81

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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.