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Finding the Fourth Proportional to 538,644.96, 743,329.78 and 296,931.48

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Solution

The fourth proportional to 538,644.96, 743,329.78 and 296,931.48 is: 409,765.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,644.96 : 743,329.78 = 296,931.48 : x
  2. Step 2: Convert to fraction form
    538,644.96/743,329.78 = 296,931.48/x
  3. Step 3: Cross multiply
    538,644.96x = 743,329.78 × 296,931.48
  4. Step 4: Simplify right side
    538,644.96x = 220,718,011,703.47
  5. Step 5: Solve for x
    x = 220,718,011,703.47/538,644.96
  6. Step 6: Final answer
    x = 409,765.30

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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.