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Finding the Fourth Proportional to 382,304.30, 573,456.45 and 256,333.10

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Solution

The fourth proportional to 382,304.30, 573,456.45 and 256,333.10 is: 384,499.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,304.30 : 573,456.45 = 256,333.10 : x
  2. Step 2: Convert to fraction form
    382,304.30/573,456.45 = 256,333.10/x
  3. Step 3: Cross multiply
    382,304.30x = 573,456.45 × 256,333.10
  4. Step 4: Simplify right side
    382,304.30x = 146,995,869,543.50
  5. Step 5: Solve for x
    x = 146,995,869,543.50/382,304.30
  6. Step 6: Final answer
    x = 384,499.65

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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.