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Finding the Fourth Proportional to 233,271.47, 349,235.97 and 208,930.68

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Solution

The fourth proportional to 233,271.47, 349,235.97 and 208,930.68 is: 312,794.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,271.47 : 349,235.97 = 208,930.68 : x
  2. Step 2: Convert to fraction form
    233,271.47/349,235.97 = 208,930.68/x
  3. Step 3: Cross multiply
    233,271.47x = 349,235.97 × 208,930.68
  4. Step 4: Simplify right side
    233,271.47x = 72,966,108,692.56
  5. Step 5: Solve for x
    x = 72,966,108,692.56/233,271.47
  6. Step 6: Final answer
    x = 312,794.83

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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.