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Finding the Fourth Proportional to 392,967.60, 589,451.40 and 235,114.80

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Solution

The fourth proportional to 392,967.60, 589,451.40 and 235,114.80 is: 352,672.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,967.60 : 589,451.40 = 235,114.80 : x
  2. Step 2: Convert to fraction form
    392,967.60/589,451.40 = 235,114.80/x
  3. Step 3: Cross multiply
    392,967.60x = 589,451.40 × 235,114.80
  4. Step 4: Simplify right side
    392,967.60x = 138,588,748,020.72
  5. Step 5: Solve for x
    x = 138,588,748,020.72/392,967.60
  6. Step 6: Final answer
    x = 352,672.20

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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.