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Finding the Fourth Proportional to 468,568.44, 646,141.14 and 400,809.69

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Solution

The fourth proportional to 468,568.44, 646,141.14 and 400,809.69 is: 552,703.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,568.44 : 646,141.14 = 400,809.69 : x
  2. Step 2: Convert to fraction form
    468,568.44/646,141.14 = 400,809.69/x
  3. Step 3: Cross multiply
    468,568.44x = 646,141.14 × 400,809.69
  4. Step 4: Simplify right side
    468,568.44x = 258,979,630,019.65
  5. Step 5: Solve for x
    x = 258,979,630,019.65/468,568.44
  6. Step 6: Final answer
    x = 552,703.96

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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.