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Finding the Fourth Proportional to 433,978.36, 650,730.24 and 344,595.24

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Solution

The fourth proportional to 433,978.36, 650,730.24 and 344,595.24 is: 516,704.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,978.36 : 650,730.24 = 344,595.24 : x
  2. Step 2: Convert to fraction form
    433,978.36/650,730.24 = 344,595.24/x
  3. Step 3: Cross multiply
    433,978.36x = 650,730.24 × 344,595.24
  4. Step 4: Simplify right side
    433,978.36x = 224,238,543,228.06
  5. Step 5: Solve for x
    x = 224,238,543,228.06/433,978.36
  6. Step 6: Final answer
    x = 516,704.43

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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.