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Finding the Fourth Proportional to 468,559.81, 646,609.80 and 253,695.43

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Solution

The fourth proportional to 468,559.81, 646,609.80 and 253,695.43 is: 350,098.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,559.81 : 646,609.80 = 253,695.43 : x
  2. Step 2: Convert to fraction form
    468,559.81/646,609.80 = 253,695.43/x
  3. Step 3: Cross multiply
    468,559.81x = 646,609.80 × 253,695.43
  4. Step 4: Simplify right side
    468,559.81x = 164,041,951,253.21
  5. Step 5: Solve for x
    x = 164,041,951,253.21/468,559.81
  6. Step 6: Final answer
    x = 350,098.21

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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.