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Finding the Fourth Proportional to 338,055.71, 466,512.53 and 194,829.08

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Solution

The fourth proportional to 338,055.71, 466,512.53 and 194,829.08 is: 268,861.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,055.71 : 466,512.53 = 194,829.08 : x
  2. Step 2: Convert to fraction form
    338,055.71/466,512.53 = 194,829.08/x
  3. Step 3: Cross multiply
    338,055.71x = 466,512.53 × 194,829.08
  4. Step 4: Simplify right side
    338,055.71x = 90,890,203,721.66
  5. Step 5: Solve for x
    x = 90,890,203,721.66/338,055.71
  6. Step 6: Final answer
    x = 268,861.62

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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.