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Finding the Fourth Proportional to 519,214.38, 716,454.72 and 301,372.80

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Solution

The fourth proportional to 519,214.38, 716,454.72 and 301,372.80 is: 415,858.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,214.38 : 716,454.72 = 301,372.80 : x
  2. Step 2: Convert to fraction form
    519,214.38/716,454.72 = 301,372.80/x
  3. Step 3: Cross multiply
    519,214.38x = 716,454.72 × 301,372.80
  4. Step 4: Simplify right side
    519,214.38x = 215,919,965,039.62
  5. Step 5: Solve for x
    x = 215,919,965,039.62/519,214.38
  6. Step 6: Final answer
    x = 415,858.98

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.