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Finding the Fourth Proportional to 538,462.87, 743,094.32 and 296,761.01

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Solution

The fourth proportional to 538,462.87, 743,094.32 and 296,761.01 is: 409,538.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,462.87 : 743,094.32 = 296,761.01 : x
  2. Step 2: Convert to fraction form
    538,462.87/743,094.32 = 296,761.01/x
  3. Step 3: Cross multiply
    538,462.87x = 743,094.32 × 296,761.01
  4. Step 4: Simplify right side
    538,462.87x = 220,521,415,729.19
  5. Step 5: Solve for x
    x = 220,521,415,729.19/538,462.87
  6. Step 6: Final answer
    x = 409,538.76

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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.