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Finding the Fourth Proportional to 538,149, 742,497.84 and 374,622.24

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Solution

The fourth proportional to 538,149, 742,497.84 and 374,622.24 is: 516,875.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,149 : 742,497.84 = 374,622.24 : x
  2. Step 2: Convert to fraction form
    538,149/742,497.84 = 374,622.24/x
  3. Step 3: Cross multiply
    538,149x = 742,497.84 × 374,622.24
  4. Step 4: Simplify right side
    538,149x = 278,156,204,015.96
  5. Step 5: Solve for x
    x = 278,156,204,015.96/538,149
  6. Step 6: Final answer
    x = 516,875.82

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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.