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Finding the Fourth Proportional to 543,503.30, 814,270.80 and 464,771.30

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Solution

The fourth proportional to 543,503.30, 814,270.80 and 464,771.30 is: 696,315.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,503.30 : 814,270.80 = 464,771.30 : x
  2. Step 2: Convert to fraction form
    543,503.30/814,270.80 = 464,771.30/x
  3. Step 3: Cross multiply
    543,503.30x = 814,270.80 × 464,771.30
  4. Step 4: Simplify right side
    543,503.30x = 378,449,698,268.04
  5. Step 5: Solve for x
    x = 378,449,698,268.04/543,503.30
  6. Step 6: Final answer
    x = 696,315.36

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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.