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Finding the Fourth Proportional to 564,308.75, 846,490.80 and 227,303.88

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Solution

The fourth proportional to 564,308.75, 846,490.80 and 227,303.88 is: 340,966.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,308.75 : 846,490.80 = 227,303.88 : x
  2. Step 2: Convert to fraction form
    564,308.75/846,490.80 = 227,303.88/x
  3. Step 3: Cross multiply
    564,308.75x = 846,490.80 × 227,303.88
  4. Step 4: Simplify right side
    564,308.75x = 192,410,643,224.30
  5. Step 5: Solve for x
    x = 192,410,643,224.30/564,308.75
  6. Step 6: Final answer
    x = 340,966.97

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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.