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Finding the Fourth Proportional to 433,562.52, 650,066.28 and 208,474.68

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Solution

The fourth proportional to 433,562.52, 650,066.28 and 208,474.68 is: 312,578.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,562.52 : 650,066.28 = 208,474.68 : x
  2. Step 2: Convert to fraction form
    433,562.52/650,066.28 = 208,474.68/x
  3. Step 3: Cross multiply
    433,562.52x = 650,066.28 × 208,474.68
  4. Step 4: Simplify right side
    433,562.52x = 135,522,359,701.79
  5. Step 5: Solve for x
    x = 135,522,359,701.79/433,562.52
  6. Step 6: Final answer
    x = 312,578.59

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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.