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Finding the Fourth Proportional to 349,326.20, 523,989.30 and 256,014.20

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Solution

The fourth proportional to 349,326.20, 523,989.30 and 256,014.20 is: 384,021.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,326.20 : 523,989.30 = 256,014.20 : x
  2. Step 2: Convert to fraction form
    349,326.20/523,989.30 = 256,014.20/x
  3. Step 3: Cross multiply
    349,326.20x = 523,989.30 × 256,014.20
  4. Step 4: Simplify right side
    349,326.20x = 134,148,701,448.06
  5. Step 5: Solve for x
    x = 134,148,701,448.06/349,326.20
  6. Step 6: Final answer
    x = 384,021.30

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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.