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Finding the Fourth Proportional to 340,256.40, 510,384.60 and 261,524.40

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Solution

The fourth proportional to 340,256.40, 510,384.60 and 261,524.40 is: 392,286.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,256.40 : 510,384.60 = 261,524.40 : x
  2. Step 2: Convert to fraction form
    340,256.40/510,384.60 = 261,524.40/x
  3. Step 3: Cross multiply
    340,256.40x = 510,384.60 × 261,524.40
  4. Step 4: Simplify right side
    340,256.40x = 133,478,026,284.24
  5. Step 5: Solve for x
    x = 133,478,026,284.24/340,256.40
  6. Step 6: Final answer
    x = 392,286.60

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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.