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Finding the Fourth Proportional to 492,298.32, 679,034.44 and 301,406.04

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Solution

The fourth proportional to 492,298.32, 679,034.44 and 301,406.04 is: 415,733.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,298.32 : 679,034.44 = 301,406.04 : x
  2. Step 2: Convert to fraction form
    492,298.32/679,034.44 = 301,406.04/x
  3. Step 3: Cross multiply
    492,298.32x = 679,034.44 × 301,406.04
  4. Step 4: Simplify right side
    492,298.32x = 204,665,081,584.02
  5. Step 5: Solve for x
    x = 204,665,081,584.02/492,298.32
  6. Step 6: Final answer
    x = 415,733.86

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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.