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Finding the Fourth Proportional to 338,365.64, 466,938.45 and 200,637.25

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Solution

The fourth proportional to 338,365.64, 466,938.45 and 200,637.25 is: 276,875.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,365.64 : 466,938.45 = 200,637.25 : x
  2. Step 2: Convert to fraction form
    338,365.64/466,938.45 = 200,637.25/x
  3. Step 3: Cross multiply
    338,365.64x = 466,938.45 × 200,637.25
  4. Step 4: Simplify right side
    338,365.64x = 93,685,245,359.92
  5. Step 5: Solve for x
    x = 93,685,245,359.92/338,365.64
  6. Step 6: Final answer
    x = 276,875.76

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.