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Finding the Fourth Proportional to 537,107.40, 804,969.90 and 411,827.40

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Solution

The fourth proportional to 537,107.40, 804,969.90 and 411,827.40 is: 617,211.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,107.40 : 804,969.90 = 411,827.40 : x
  2. Step 2: Convert to fraction form
    537,107.40/804,969.90 = 411,827.40/x
  3. Step 3: Cross multiply
    537,107.40x = 804,969.90 × 411,827.40
  4. Step 4: Simplify right side
    537,107.40x = 331,508,660,995.26
  5. Step 5: Solve for x
    x = 331,508,660,995.26/537,107.40
  6. Step 6: Final answer
    x = 617,211.12

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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.