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Finding the Fourth Proportional to 305,846.40, 457,862.40 and 227,308.80

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Solution

The fourth proportional to 305,846.40, 457,862.40 and 227,308.80 is: 340,288.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,846.40 : 457,862.40 = 227,308.80 : x
  2. Step 2: Convert to fraction form
    305,846.40/457,862.40 = 227,308.80/x
  3. Step 3: Cross multiply
    305,846.40x = 457,862.40 × 227,308.80
  4. Step 4: Simplify right side
    305,846.40x = 104,076,152,709.12
  5. Step 5: Solve for x
    x = 104,076,152,709.12/305,846.40
  6. Step 6: Final answer
    x = 340,288.96

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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.