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Finding the Fourth Proportional to 354,938.40, 532,407.60 and 327,904.80

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Solution

The fourth proportional to 354,938.40, 532,407.60 and 327,904.80 is: 491,857.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,938.40 : 532,407.60 = 327,904.80 : x
  2. Step 2: Convert to fraction form
    354,938.40/532,407.60 = 327,904.80/x
  3. Step 3: Cross multiply
    354,938.40x = 532,407.60 × 327,904.80
  4. Step 4: Simplify right side
    354,938.40x = 174,579,007,596.48
  5. Step 5: Solve for x
    x = 174,579,007,596.48/354,938.40
  6. Step 6: Final answer
    x = 491,857.20

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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.