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Finding the Fourth Proportional to 382,308.30, 573,462.45 and 256,337.10

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Solution

The fourth proportional to 382,308.30, 573,462.45 and 256,337.10 is: 384,505.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,308.30 : 573,462.45 = 256,337.10 : x
  2. Step 2: Convert to fraction form
    382,308.30/573,462.45 = 256,337.10/x
  3. Step 3: Cross multiply
    382,308.30x = 573,462.45 × 256,337.10
  4. Step 4: Simplify right side
    382,308.30x = 146,999,701,391.90
  5. Step 5: Solve for x
    x = 146,999,701,391.90/382,308.30
  6. Step 6: Final answer
    x = 384,505.65

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