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Finding the Fourth Proportional to 690,421.59, 953,076.38 and 464,198.31

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Solution

The fourth proportional to 690,421.59, 953,076.38 and 464,198.31 is: 640,791.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    690,421.59 : 953,076.38 = 464,198.31 : x
  2. Step 2: Convert to fraction form
    690,421.59/953,076.38 = 464,198.31/x
  3. Step 3: Cross multiply
    690,421.59x = 953,076.38 × 464,198.31
  4. Step 4: Simplify right side
    690,421.59x = 442,416,442,575.93
  5. Step 5: Solve for x
    x = 442,416,442,575.93/690,421.59
  6. Step 6: Final answer
    x = 640,791.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.