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Finding the Fourth Proportional to 382,754, 574,251.96 and 172,410.32

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Solution

The fourth proportional to 382,754, 574,251.96 and 172,410.32 is: 258,669.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,754 : 574,251.96 = 172,410.32 : x
  2. Step 2: Convert to fraction form
    382,754/574,251.96 = 172,410.32/x
  3. Step 3: Cross multiply
    382,754x = 574,251.96 × 172,410.32
  4. Step 4: Simplify right side
    382,754x = 99,006,964,184.23
  5. Step 5: Solve for x
    x = 99,006,964,184.23/382,754
  6. Step 6: Final answer
    x = 258,669.97

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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.