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Finding the Fourth Proportional to 537,067.40, 804,909.90 and 411,787.40

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Solution

The fourth proportional to 537,067.40, 804,909.90 and 411,787.40 is: 617,151.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,067.40 : 804,909.90 = 411,787.40 : x
  2. Step 2: Convert to fraction form
    537,067.40/804,909.90 = 411,787.40/x
  3. Step 3: Cross multiply
    537,067.40x = 804,909.90 × 411,787.40
  4. Step 4: Simplify right side
    537,067.40x = 331,451,754,955.26
  5. Step 5: Solve for x
    x = 331,451,754,955.26/537,067.40
  6. Step 6: Final answer
    x = 617,151.13

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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.