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Finding the Fourth Proportional to 594,014, 819,778.44 and 325,742

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Solution

The fourth proportional to 594,014, 819,778.44 and 325,742 is: 449,545.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    594,014 : 819,778.44 = 325,742 : x
  2. Step 2: Convert to fraction form
    594,014/819,778.44 = 325,742/x
  3. Step 3: Cross multiply
    594,014x = 819,778.44 × 325,742
  4. Step 4: Simplify right side
    594,014x = 267,036,268,602.48
  5. Step 5: Solve for x
    x = 267,036,268,602.48/594,014
  6. Step 6: Final answer
    x = 449,545.41

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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.