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Finding the Fourth Proportional to 490,477.40, 735,543.30 and 174,944.60

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Solution

The fourth proportional to 490,477.40, 735,543.30 and 174,944.60 is: 262,355.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,477.40 : 735,543.30 = 174,944.60 : x
  2. Step 2: Convert to fraction form
    490,477.40/735,543.30 = 174,944.60/x
  3. Step 3: Cross multiply
    490,477.40x = 735,543.30 × 174,944.60
  4. Step 4: Simplify right side
    490,477.40x = 128,679,328,401.18
  5. Step 5: Solve for x
    x = 128,679,328,401.18/490,477.40
  6. Step 6: Final answer
    x = 262,355.27

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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.