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Finding the Fourth Proportional to 543,464.20, 816,071.10 and 410,494.60

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Solution

The fourth proportional to 543,464.20, 816,071.10 and 410,494.60 is: 616,402.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,464.20 : 816,071.10 = 410,494.60 : x
  2. Step 2: Convert to fraction form
    543,464.20/816,071.10 = 410,494.60/x
  3. Step 3: Cross multiply
    543,464.20x = 816,071.10 × 410,494.60
  4. Step 4: Simplify right side
    543,464.20x = 334,992,779,766.06
  5. Step 5: Solve for x
    x = 334,992,779,766.06/543,464.20
  6. Step 6: Final answer
    x = 616,402.66

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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.