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Finding the Fourth Proportional to 468,568.94, 646,141.83 and 400,810.19

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Solution

The fourth proportional to 468,568.94, 646,141.83 and 400,810.19 is: 552,704.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,568.94 : 646,141.83 = 400,810.19 : x
  2. Step 2: Convert to fraction form
    468,568.94/646,141.83 = 400,810.19/x
  3. Step 3: Cross multiply
    468,568.94x = 646,141.83 × 400,810.19
  4. Step 4: Simplify right side
    468,568.94x = 258,980,229,649.25
  5. Step 5: Solve for x
    x = 258,980,229,649.25/468,568.94
  6. Step 6: Final answer
    x = 552,704.65

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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.