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Finding the Fourth Proportional to 468,568.96, 646,141.84 and 400,810.24

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Solution

The fourth proportional to 468,568.96, 646,141.84 and 400,810.24 is: 552,704.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,568.96 : 646,141.84 = 400,810.24 : x
  2. Step 2: Convert to fraction form
    468,568.96/646,141.84 = 400,810.24/x
  3. Step 3: Cross multiply
    468,568.96x = 646,141.84 × 400,810.24
  4. Step 4: Simplify right side
    468,568.96x = 258,980,265,964.44
  5. Step 5: Solve for x
    x = 258,980,265,964.44/468,568.96
  6. Step 6: Final answer
    x = 552,704.70

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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.