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Finding the Fourth Proportional to 491,433.92, 678,388.06 and 330,382.38

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Solution

The fourth proportional to 491,433.92, 678,388.06 and 330,382.38 is: 456,068.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,433.92 : 678,388.06 = 330,382.38 : x
  2. Step 2: Convert to fraction form
    491,433.92/678,388.06 = 330,382.38/x
  3. Step 3: Cross multiply
    491,433.92x = 678,388.06 × 330,382.38
  4. Step 4: Simplify right side
    491,433.92x = 224,127,461,826.38
  5. Step 5: Solve for x
    x = 224,127,461,826.38/491,433.92
  6. Step 6: Final answer
    x = 456,068.36

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.