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Finding the Fourth Proportional to 406,333.80, 609,733.98 and 317,337.48

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Solution

The fourth proportional to 406,333.80, 609,733.98 and 317,337.48 is: 476,188.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,333.80 : 609,733.98 = 317,337.48 : x
  2. Step 2: Convert to fraction form
    406,333.80/609,733.98 = 317,337.48/x
  3. Step 3: Cross multiply
    406,333.80x = 609,733.98 × 317,337.48
  4. Step 4: Simplify right side
    406,333.80x = 193,491,444,683.57
  5. Step 5: Solve for x
    x = 193,491,444,683.57/406,333.80
  6. Step 6: Final answer
    x = 476,188.41

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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.