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Finding the Fourth Proportional to 468,265.74, 646,201.44 and 253,401.90

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Solution

The fourth proportional to 468,265.74, 646,201.44 and 253,401.90 is: 349,691.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,265.74 : 646,201.44 = 253,401.90 : x
  2. Step 2: Convert to fraction form
    468,265.74/646,201.44 = 253,401.90/x
  3. Step 3: Cross multiply
    468,265.74x = 646,201.44 × 253,401.90
  4. Step 4: Simplify right side
    468,265.74x = 163,748,672,678.74
  5. Step 5: Solve for x
    x = 163,748,672,678.74/468,265.74
  6. Step 6: Final answer
    x = 349,691.76

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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.