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Finding the Fourth Proportional to 538,567.50, 743,228.26 and 296,859.44

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Solution

The fourth proportional to 538,567.50, 743,228.26 and 296,859.44 is: 409,668.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,567.50 : 743,228.26 = 296,859.44 : x
  2. Step 2: Convert to fraction form
    538,567.50/743,228.26 = 296,859.44/x
  3. Step 3: Cross multiply
    538,567.50x = 743,228.26 × 296,859.44
  4. Step 4: Simplify right side
    538,567.50x = 220,634,325,055.77
  5. Step 5: Solve for x
    x = 220,634,325,055.77/538,567.50
  6. Step 6: Final answer
    x = 409,668.84

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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.