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Finding the Fourth Proportional to 537,086.40, 804,938.40 and 411,806.40

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Solution

The fourth proportional to 537,086.40, 804,938.40 and 411,806.40 is: 617,179.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,086.40 : 804,938.40 = 411,806.40 : x
  2. Step 2: Convert to fraction form
    537,086.40/804,938.40 = 411,806.40/x
  3. Step 3: Cross multiply
    537,086.40x = 804,938.40 × 411,806.40
  4. Step 4: Simplify right side
    537,086.40x = 331,478,784,725.76
  5. Step 5: Solve for x
    x = 331,478,784,725.76/537,086.40
  6. Step 6: Final answer
    x = 617,179.63

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.