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Finding the Fourth Proportional to 536,305.40, 803,766.90 and 411,025.40

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Solution

The fourth proportional to 536,305.40, 803,766.90 and 411,025.40 is: 616,008.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    536,305.40 : 803,766.90 = 411,025.40 : x
  2. Step 2: Convert to fraction form
    536,305.40/803,766.90 = 411,025.40/x
  3. Step 3: Cross multiply
    536,305.40x = 803,766.90 × 411,025.40
  4. Step 4: Simplify right side
    536,305.40x = 330,368,611,579.26
  5. Step 5: Solve for x
    x = 330,368,611,579.26/536,305.40
  6. Step 6: Final answer
    x = 616,008.36

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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.