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Finding the Fourth Proportional to 393,032.40, 589,038.30 and 182,221.80

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Solution

The fourth proportional to 393,032.40, 589,038.30 and 182,221.80 is: 273,096.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,032.40 : 589,038.30 = 182,221.80 : x
  2. Step 2: Convert to fraction form
    393,032.40/589,038.30 = 182,221.80/x
  3. Step 3: Cross multiply
    393,032.40x = 589,038.30 × 182,221.80
  4. Step 4: Simplify right side
    393,032.40x = 107,335,619,294.94
  5. Step 5: Solve for x
    x = 107,335,619,294.94/393,032.40
  6. Step 6: Final answer
    x = 273,096.11

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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.