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Finding the Fourth Proportional to 538,373.34, 742,945.50 and 296,678.34

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Solution

The fourth proportional to 538,373.34, 742,945.50 and 296,678.34 is: 409,410.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,373.34 : 742,945.50 = 296,678.34 : x
  2. Step 2: Convert to fraction form
    538,373.34/742,945.50 = 296,678.34/x
  3. Step 3: Cross multiply
    538,373.34x = 742,945.50 × 296,678.34
  4. Step 4: Simplify right side
    538,373.34x = 220,415,837,650.47
  5. Step 5: Solve for x
    x = 220,415,837,650.47/538,373.34
  6. Step 6: Final answer
    x = 409,410.76

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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.