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Finding the Fourth Proportional to 564,264.30, 846,386.64 and 227,296.34

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Solution

The fourth proportional to 564,264.30, 846,386.64 and 227,296.34 is: 340,940.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,264.30 : 846,386.64 = 227,296.34 : x
  2. Step 2: Convert to fraction form
    564,264.30/846,386.64 = 227,296.34/x
  3. Step 3: Cross multiply
    564,264.30x = 846,386.64 × 227,296.34
  4. Step 4: Simplify right side
    564,264.30x = 192,380,583,772.29
  5. Step 5: Solve for x
    x = 192,380,583,772.29/564,264.30
  6. Step 6: Final answer
    x = 340,940.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.