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Finding the Fourth Proportional to 465,675.60, 698,340.60 and 185,134.80

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Solution

The fourth proportional to 465,675.60, 698,340.60 and 185,134.80 is: 277,633.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,675.60 : 698,340.60 = 185,134.80 : x
  2. Step 2: Convert to fraction form
    465,675.60/698,340.60 = 185,134.80/x
  3. Step 3: Cross multiply
    465,675.60x = 698,340.60 × 185,134.80
  4. Step 4: Simplify right side
    465,675.60x = 129,287,147,312.88
  5. Step 5: Solve for x
    x = 129,287,147,312.88/465,675.60
  6. Step 6: Final answer
    x = 277,633.50

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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.