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Finding the Fourth Proportional to 382,894.82, 574,342.05 and 146,261.42

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Solution

The fourth proportional to 382,894.82, 574,342.05 and 146,261.42 is: 219,392.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,894.82 : 574,342.05 = 146,261.42 : x
  2. Step 2: Convert to fraction form
    382,894.82/574,342.05 = 146,261.42/x
  3. Step 3: Cross multiply
    382,894.82x = 574,342.05 × 146,261.42
  4. Step 4: Simplify right side
    382,894.82x = 84,004,083,798.71
  5. Step 5: Solve for x
    x = 84,004,083,798.71/382,894.82
  6. Step 6: Final answer
    x = 219,392.06

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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.