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Finding the Fourth Proportional to 537,069.90, 804,913.65 and 411,789.90

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Solution

The fourth proportional to 537,069.90, 804,913.65 and 411,789.90 is: 617,154.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,069.90 : 804,913.65 = 411,789.90 : x
  2. Step 2: Convert to fraction form
    537,069.90/804,913.65 = 411,789.90/x
  3. Step 3: Cross multiply
    537,069.90x = 804,913.65 × 411,789.90
  4. Step 4: Simplify right side
    537,069.90x = 331,455,311,442.14
  5. Step 5: Solve for x
    x = 331,455,311,442.14/537,069.90
  6. Step 6: Final answer
    x = 617,154.88

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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.