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Finding the Fourth Proportional to 468,516.44, 646,551.86 and 253,656.50

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Solution

The fourth proportional to 468,516.44, 646,551.86 and 253,656.50 is: 350,045.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,516.44 : 646,551.86 = 253,656.50 : x
  2. Step 2: Convert to fraction form
    468,516.44/646,551.86 = 253,656.50/x
  3. Step 3: Cross multiply
    468,516.44x = 646,551.86 × 253,656.50
  4. Step 4: Simplify right side
    468,516.44x = 164,002,081,876.09
  5. Step 5: Solve for x
    x = 164,002,081,876.09/468,516.44
  6. Step 6: Final answer
    x = 350,045.52

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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.