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Finding the Fourth Proportional to 351,574.88, 527,451.62 and 102,256.88

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Solution

The fourth proportional to 351,574.88, 527,451.62 and 102,256.88 is: 153,411.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,574.88 : 527,451.62 = 102,256.88 : x
  2. Step 2: Convert to fraction form
    351,574.88/527,451.62 = 102,256.88/x
  3. Step 3: Cross multiply
    351,574.88x = 527,451.62 × 102,256.88
  4. Step 4: Simplify right side
    351,574.88x = 53,935,557,012.15
  5. Step 5: Solve for x
    x = 53,935,557,012.15/351,574.88
  6. Step 6: Final answer
    x = 153,411.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.