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Finding the Fourth Proportional to 490,350.40, 735,352.80 and 174,817.60

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Solution

The fourth proportional to 490,350.40, 735,352.80 and 174,817.60 is: 262,164.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,350.40 : 735,352.80 = 174,817.60 : x
  2. Step 2: Convert to fraction form
    490,350.40/735,352.80 = 174,817.60/x
  3. Step 3: Cross multiply
    490,350.40x = 735,352.80 × 174,817.60
  4. Step 4: Simplify right side
    490,350.40x = 128,552,611,649.28
  5. Step 5: Solve for x
    x = 128,552,611,649.28/490,350.40
  6. Step 6: Final answer
    x = 262,164.79

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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.