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Finding the Fourth Proportional to 405,981.22, 560,236.86 and 224,676.20

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Solution

The fourth proportional to 405,981.22, 560,236.86 and 224,676.20 is: 310,043.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,981.22 : 560,236.86 = 224,676.20 : x
  2. Step 2: Convert to fraction form
    405,981.22/560,236.86 = 224,676.20/x
  3. Step 3: Cross multiply
    405,981.22x = 560,236.86 × 224,676.20
  4. Step 4: Simplify right side
    405,981.22x = 125,871,888,804.73
  5. Step 5: Solve for x
    x = 125,871,888,804.73/405,981.22
  6. Step 6: Final answer
    x = 310,043.62

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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.