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Finding the Fourth Proportional to 433,253.44, 649,932 and 152,712.64

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Solution

The fourth proportional to 433,253.44, 649,932 and 152,712.64 is: 229,087.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,253.44 : 649,932 = 152,712.64 : x
  2. Step 2: Convert to fraction form
    433,253.44/649,932 = 152,712.64/x
  3. Step 3: Cross multiply
    433,253.44x = 649,932 × 152,712.64
  4. Step 4: Simplify right side
    433,253.44x = 99,252,831,540.48
  5. Step 5: Solve for x
    x = 99,252,831,540.48/433,253.44
  6. Step 6: Final answer
    x = 229,087.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.