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Finding the Fourth Proportional to 501,423.75, 691,964.91 and 275,069.25

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Solution

The fourth proportional to 501,423.75, 691,964.91 and 275,069.25 is: 379,595.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,423.75 : 691,964.91 = 275,069.25 : x
  2. Step 2: Convert to fraction form
    501,423.75/691,964.91 = 275,069.25/x
  3. Step 3: Cross multiply
    501,423.75x = 691,964.91 × 275,069.25
  4. Step 4: Simplify right side
    501,423.75x = 190,338,268,820.02
  5. Step 5: Solve for x
    x = 190,338,268,820.02/501,423.75
  6. Step 6: Final answer
    x = 379,595.64

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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.