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Finding the Fourth Proportional to 430,775.43, 646,163.33 and 193,841.34

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Solution

The fourth proportional to 430,775.43, 646,163.33 and 193,841.34 is: 290,762.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,775.43 : 646,163.33 = 193,841.34 : x
  2. Step 2: Convert to fraction form
    430,775.43/646,163.33 = 193,841.34/x
  3. Step 3: Cross multiply
    430,775.43x = 646,163.33 × 193,841.34
  4. Step 4: Simplify right side
    430,775.43x = 125,253,164,776.86
  5. Step 5: Solve for x
    x = 125,253,164,776.86/430,775.43
  6. Step 6: Final answer
    x = 290,762.09

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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.