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Finding the Fourth Proportional to 392,903.31, 589,463.73 and 156,412.02

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Solution

The fourth proportional to 392,903.31, 589,463.73 and 156,412.02 is: 234,661.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,903.31 : 589,463.73 = 156,412.02 : x
  2. Step 2: Convert to fraction form
    392,903.31/589,463.73 = 156,412.02/x
  3. Step 3: Cross multiply
    392,903.31x = 589,463.73 × 156,412.02
  4. Step 4: Simplify right side
    392,903.31x = 92,199,212,726.03
  5. Step 5: Solve for x
    x = 92,199,212,726.03/392,903.31
  6. Step 6: Final answer
    x = 234,661.33

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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.