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Finding the Fourth Proportional to 228,002.70, 342,004.05 and 224,892.30

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Solution

The fourth proportional to 228,002.70, 342,004.05 and 224,892.30 is: 337,338.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,002.70 : 342,004.05 = 224,892.30 : x
  2. Step 2: Convert to fraction form
    228,002.70/342,004.05 = 224,892.30/x
  3. Step 3: Cross multiply
    228,002.70x = 342,004.05 × 224,892.30
  4. Step 4: Simplify right side
    228,002.70x = 76,914,077,413.82
  5. Step 5: Solve for x
    x = 76,914,077,413.82/228,002.70
  6. Step 6: Final answer
    x = 337,338.45

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1.5x scale

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.