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Finding the Fourth Proportional to 465,485.40, 698,573.70 and 185,203.80

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Solution

The fourth proportional to 465,485.40, 698,573.70 and 185,203.80 is: 277,943.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,485.40 : 698,573.70 = 185,203.80 : x
  2. Step 2: Convert to fraction form
    465,485.40/698,573.70 = 185,203.80/x
  3. Step 3: Cross multiply
    465,485.40x = 698,573.70 × 185,203.80
  4. Step 4: Simplify right side
    465,485.40x = 129,378,503,820.06
  5. Step 5: Solve for x
    x = 129,378,503,820.06/465,485.40
  6. Step 6: Final answer
    x = 277,943.20

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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.