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Finding the Fourth Proportional to 523,732.98, 785,650.23 and 208,119.18

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Solution

The fourth proportional to 523,732.98, 785,650.23 and 208,119.18 is: 312,198.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,732.98 : 785,650.23 = 208,119.18 : x
  2. Step 2: Convert to fraction form
    523,732.98/785,650.23 = 208,119.18/x
  3. Step 3: Cross multiply
    523,732.98x = 785,650.23 × 208,119.18
  4. Step 4: Simplify right side
    523,732.98x = 163,508,881,634.41
  5. Step 5: Solve for x
    x = 163,508,881,634.41/523,732.98
  6. Step 6: Final answer
    x = 312,198.94

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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.