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Finding the Fourth Proportional to 304,423.70, 456,664.35 and 82,807.70

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Solution

The fourth proportional to 304,423.70, 456,664.35 and 82,807.70 is: 124,219.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,423.70 : 456,664.35 = 82,807.70 : x
  2. Step 2: Convert to fraction form
    304,423.70/456,664.35 = 82,807.70/x
  3. Step 3: Cross multiply
    304,423.70x = 456,664.35 × 82,807.70
  4. Step 4: Simplify right side
    304,423.70x = 37,815,324,495.50
  5. Step 5: Solve for x
    x = 37,815,324,495.50/304,423.70
  6. Step 6: Final answer
    x = 124,219.38

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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.