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Finding the Fourth Proportional to 290,846.20, 435,731.70 and 165,815.80

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Solution

The fourth proportional to 290,846.20, 435,731.70 and 165,815.80 is: 248,417.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,846.20 : 435,731.70 = 165,815.80 : x
  2. Step 2: Convert to fraction form
    290,846.20/435,731.70 = 165,815.80/x
  3. Step 3: Cross multiply
    290,846.20x = 435,731.70 × 165,815.80
  4. Step 4: Simplify right side
    290,846.20x = 72,251,200,420.86
  5. Step 5: Solve for x
    x = 72,251,200,420.86/290,846.20
  6. Step 6: Final answer
    x = 248,417.21

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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.