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Finding the Fourth Proportional to 353,138.40, 529,513.20 and 116,359.20

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Solution

The fourth proportional to 353,138.40, 529,513.20 and 116,359.20 is: 174,474.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,138.40 : 529,513.20 = 116,359.20 : x
  2. Step 2: Convert to fraction form
    353,138.40/529,513.20 = 116,359.20/x
  3. Step 3: Cross multiply
    353,138.40x = 529,513.20 × 116,359.20
  4. Step 4: Simplify right side
    353,138.40x = 61,613,732,341.44
  5. Step 5: Solve for x
    x = 61,613,732,341.44/353,138.40
  6. Step 6: Final answer
    x = 174,474.75

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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.