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Finding the Fourth Proportional to 468,563.31, 646,614.63 and 253,698.93

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Solution

The fourth proportional to 468,563.31, 646,614.63 and 253,698.93 is: 350,103.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,563.31 : 646,614.63 = 253,698.93 : x
  2. Step 2: Convert to fraction form
    468,563.31/646,614.63 = 253,698.93/x
  3. Step 3: Cross multiply
    468,563.31x = 646,614.63 × 253,698.93
  4. Step 4: Simplify right side
    468,563.31x = 164,045,439,753.35
  5. Step 5: Solve for x
    x = 164,045,439,753.35/468,563.31
  6. Step 6: Final answer
    x = 350,103.04

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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.