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Finding the Fourth Proportional to 300,402.56, 414,113.92 and 228,657.60

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Solution

The fourth proportional to 300,402.56, 414,113.92 and 228,657.60 is: 315,211.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,402.56 : 414,113.92 = 228,657.60 : x
  2. Step 2: Convert to fraction form
    300,402.56/414,113.92 = 228,657.60/x
  3. Step 3: Cross multiply
    300,402.56x = 414,113.92 × 228,657.60
  4. Step 4: Simplify right side
    300,402.56x = 94,690,295,073.79
  5. Step 5: Solve for x
    x = 94,690,295,073.79/300,402.56
  6. Step 6: Final answer
    x = 315,211.35

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.