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Finding the Fourth Proportional to 538,944.74, 743,796.34 and 402,742.20

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Solution

The fourth proportional to 538,944.74, 743,796.34 and 402,742.20 is: 555,823.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,944.74 : 743,796.34 = 402,742.20 : x
  2. Step 2: Convert to fraction form
    538,944.74/743,796.34 = 402,742.20/x
  3. Step 3: Cross multiply
    538,944.74x = 743,796.34 × 402,742.20
  4. Step 4: Simplify right side
    538,944.74x = 299,558,174,323.55
  5. Step 5: Solve for x
    x = 299,558,174,323.55/538,944.74
  6. Step 6: Final answer
    x = 555,823.54

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.