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Finding the Fourth Proportional to 523,826.56, 785,790.48 and 208,212.64

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Solution

The fourth proportional to 523,826.56, 785,790.48 and 208,212.64 is: 312,339.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,826.56 : 785,790.48 = 208,212.64 : x
  2. Step 2: Convert to fraction form
    523,826.56/785,790.48 = 208,212.64/x
  3. Step 3: Cross multiply
    523,826.56x = 785,790.48 × 208,212.64
  4. Step 4: Simplify right side
    523,826.56x = 163,611,510,327.67
  5. Step 5: Solve for x
    x = 163,611,510,327.67/523,826.56
  6. Step 6: Final answer
    x = 312,339.09

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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.