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Finding the Fourth Proportional to 452,228.64, 678,357.54 and 227,466.48

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Solution

The fourth proportional to 452,228.64, 678,357.54 and 227,466.48 is: 341,207.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,228.64 : 678,357.54 = 227,466.48 : x
  2. Step 2: Convert to fraction form
    452,228.64/678,357.54 = 227,466.48/x
  3. Step 3: Cross multiply
    452,228.64x = 678,357.54 × 227,466.48
  4. Step 4: Simplify right side
    452,228.64x = 154,303,601,805.26
  5. Step 5: Solve for x
    x = 154,303,601,805.26/452,228.64
  6. Step 6: Final answer
    x = 341,207.05

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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.