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Finding the Fourth Proportional to 326,296.56, 450,654.12 and 224,634

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Solution

The fourth proportional to 326,296.56, 450,654.12 and 224,634 is: 310,246.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,296.56 : 450,654.12 = 224,634 : x
  2. Step 2: Convert to fraction form
    326,296.56/450,654.12 = 224,634/x
  3. Step 3: Cross multiply
    326,296.56x = 450,654.12 × 224,634
  4. Step 4: Simplify right side
    326,296.56x = 101,232,237,592.08
  5. Step 5: Solve for x
    x = 101,232,237,592.08/326,296.56
  6. Step 6: Final answer
    x = 310,246.11

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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.