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Finding the Fourth Proportional to 409,339.54, 611,131.15 and 312,771.36

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Solution

The fourth proportional to 409,339.54, 611,131.15 and 312,771.36 is: 466,957.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,339.54 : 611,131.15 = 312,771.36 : x
  2. Step 2: Convert to fraction form
    409,339.54/611,131.15 = 312,771.36/x
  3. Step 3: Cross multiply
    409,339.54x = 611,131.15 × 312,771.36
  4. Step 4: Simplify right side
    409,339.54x = 191,144,318,614.11
  5. Step 5: Solve for x
    x = 191,144,318,614.11/409,339.54
  6. Step 6: Final answer
    x = 466,957.87

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.