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Finding the Fourth Proportional to 698,167.14, 963,462.78 and 411,779.52

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Solution

The fourth proportional to 698,167.14, 963,462.78 and 411,779.52 is: 568,251.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    698,167.14 : 963,462.78 = 411,779.52 : x
  2. Step 2: Convert to fraction form
    698,167.14/963,462.78 = 411,779.52/x
  3. Step 3: Cross multiply
    698,167.14x = 963,462.78 × 411,779.52
  4. Step 4: Simplify right side
    698,167.14x = 396,734,241,086.27
  5. Step 5: Solve for x
    x = 396,734,241,086.27/698,167.14
  6. Step 6: Final answer
    x = 568,251.09

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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.