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Finding the Fourth Proportional to 665,738.60, 997,951.80 and 328,503.20

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Solution

The fourth proportional to 665,738.60, 997,951.80 and 328,503.20 is: 492,431.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,738.60 : 997,951.80 = 328,503.20 : x
  2. Step 2: Convert to fraction form
    665,738.60/997,951.80 = 328,503.20/x
  3. Step 3: Cross multiply
    665,738.60x = 997,951.80 × 328,503.20
  4. Step 4: Simplify right side
    665,738.60x = 327,830,359,745.76
  5. Step 5: Solve for x
    x = 327,830,359,745.76/665,738.60
  6. Step 6: Final answer
    x = 492,431.05

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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.