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Finding the Fourth Proportional to 382,428.30, 573,642.45 and 256,457.10

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Solution

The fourth proportional to 382,428.30, 573,642.45 and 256,457.10 is: 384,685.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,428.30 : 573,642.45 = 256,457.10 : x
  2. Step 2: Convert to fraction form
    382,428.30/573,642.45 = 256,457.10/x
  3. Step 3: Cross multiply
    382,428.30x = 573,642.45 × 256,457.10
  4. Step 4: Simplify right side
    382,428.30x = 147,114,679,163.90
  5. Step 5: Solve for x
    x = 147,114,679,163.90/382,428.30
  6. Step 6: Final answer
    x = 384,685.65

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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.