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Finding the Fourth Proportional to 392,731.60, 589,097.40 and 288,014.80

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Solution

The fourth proportional to 392,731.60, 589,097.40 and 288,014.80 is: 432,022.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,731.60 : 589,097.40 = 288,014.80 : x
  2. Step 2: Convert to fraction form
    392,731.60/589,097.40 = 288,014.80/x
  3. Step 3: Cross multiply
    392,731.60x = 589,097.40 × 288,014.80
  4. Step 4: Simplify right side
    392,731.60x = 169,668,769,841.52
  5. Step 5: Solve for x
    x = 169,668,769,841.52/392,731.60
  6. Step 6: Final answer
    x = 432,022.20

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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.