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Finding the Fourth Proportional to 353,238.60, 529,857.90 and 314,747.40

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Solution

The fourth proportional to 353,238.60, 529,857.90 and 314,747.40 is: 472,121.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,238.60 : 529,857.90 = 314,747.40 : x
  2. Step 2: Convert to fraction form
    353,238.60/529,857.90 = 314,747.40/x
  3. Step 3: Cross multiply
    353,238.60x = 529,857.90 × 314,747.40
  4. Step 4: Simplify right side
    353,238.60x = 166,771,396,394.46
  5. Step 5: Solve for x
    x = 166,771,396,394.46/353,238.60
  6. Step 6: Final answer
    x = 472,121.10

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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.