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Finding the Fourth Proportional to 338,424.82, 466,967.06 and 193,164.28

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Solution

The fourth proportional to 338,424.82, 466,967.06 and 193,164.28 is: 266,532.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,424.82 : 466,967.06 = 193,164.28 : x
  2. Step 2: Convert to fraction form
    338,424.82/466,967.06 = 193,164.28/x
  3. Step 3: Cross multiply
    338,424.82x = 466,967.06 × 193,164.28
  4. Step 4: Simplify right side
    338,424.82x = 90,201,353,795.38
  5. Step 5: Solve for x
    x = 90,201,353,795.38/338,424.82
  6. Step 6: Final answer
    x = 266,532.92

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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.