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Finding the Fourth Proportional to 402,390.80, 603,202.20 and 149,603.60

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Solution

The fourth proportional to 402,390.80, 603,202.20 and 149,603.60 is: 224,262.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,390.80 : 603,202.20 = 149,603.60 : x
  2. Step 2: Convert to fraction form
    402,390.80/603,202.20 = 149,603.60/x
  3. Step 3: Cross multiply
    402,390.80x = 603,202.20 × 149,603.60
  4. Step 4: Simplify right side
    402,390.80x = 90,241,220,647.92
  5. Step 5: Solve for x
    x = 90,241,220,647.92/402,390.80
  6. Step 6: Final answer
    x = 224,262.63

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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.