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Finding the Fourth Proportional to 537,095.40, 804,951.90 and 411,815.40

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Solution

The fourth proportional to 537,095.40, 804,951.90 and 411,815.40 is: 617,193.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,095.40 : 804,951.90 = 411,815.40 : x
  2. Step 2: Convert to fraction form
    537,095.40/804,951.90 = 411,815.40/x
  3. Step 3: Cross multiply
    537,095.40x = 804,951.90 × 411,815.40
  4. Step 4: Simplify right side
    537,095.40x = 331,491,588,679.26
  5. Step 5: Solve for x
    x = 331,491,588,679.26/537,095.40
  6. Step 6: Final answer
    x = 617,193.13

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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.