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Finding the Fourth Proportional to 520,201.41, 780,302.12 and 146,224.41

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Solution

The fourth proportional to 520,201.41, 780,302.12 and 146,224.41 is: 219,336.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,201.41 : 780,302.12 = 146,224.41 : x
  2. Step 2: Convert to fraction form
    520,201.41/780,302.12 = 146,224.41/x
  3. Step 3: Cross multiply
    520,201.41x = 780,302.12 × 146,224.41
  4. Step 4: Simplify right side
    520,201.41x = 114,099,213,461.49
  5. Step 5: Solve for x
    x = 114,099,213,461.49/520,201.41
  6. Step 6: Final answer
    x = 219,336.61

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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.