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Finding the Fourth Proportional to 538,467.61, 743,090.34 and 296,759.02

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Solution

The fourth proportional to 538,467.61, 743,090.34 and 296,759.02 is: 409,530.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,467.61 : 743,090.34 = 296,759.02 : x
  2. Step 2: Convert to fraction form
    538,467.61/743,090.34 = 296,759.02/x
  3. Step 3: Cross multiply
    538,467.61x = 743,090.34 × 296,759.02
  4. Step 4: Simplify right side
    538,467.61x = 220,518,761,069.87
  5. Step 5: Solve for x
    x = 220,518,761,069.87/538,467.61
  6. Step 6: Final answer
    x = 409,530.22

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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.