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Finding the Fourth Proportional to 468,536.47, 646,579.47 and 253,676.50

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Solution

The fourth proportional to 468,536.47, 646,579.47 and 253,676.50 is: 350,073.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,536.47 : 646,579.47 = 253,676.50 : x
  2. Step 2: Convert to fraction form
    468,536.47/646,579.47 = 253,676.50/x
  3. Step 3: Cross multiply
    468,536.47x = 646,579.47 × 253,676.50
  4. Step 4: Simplify right side
    468,536.47x = 164,022,016,921.46
  5. Step 5: Solve for x
    x = 164,022,016,921.46/468,536.47
  6. Step 6: Final answer
    x = 350,073.11

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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.