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Finding the Fourth Proportional to 465,817.90, 698,874.48 and 166,291.85

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Solution

The fourth proportional to 465,817.90, 698,874.48 and 166,291.85 is: 249,490.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,817.90 : 698,874.48 = 166,291.85 : x
  2. Step 2: Convert to fraction form
    465,817.90/698,874.48 = 166,291.85/x
  3. Step 3: Cross multiply
    465,817.90x = 698,874.48 × 166,291.85
  4. Step 4: Simplify right side
    465,817.90x = 116,217,130,196.99
  5. Step 5: Solve for x
    x = 116,217,130,196.99/465,817.90
  6. Step 6: Final answer
    x = 249,490.48

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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.