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Finding the Fourth Proportional to 365,711.64, 504,478.90 and 212,732.61

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Solution

The fourth proportional to 365,711.64, 504,478.90 and 212,732.61 is: 293,452.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,711.64 : 504,478.90 = 212,732.61 : x
  2. Step 2: Convert to fraction form
    365,711.64/504,478.90 = 212,732.61/x
  3. Step 3: Cross multiply
    365,711.64x = 504,478.90 × 212,732.61
  4. Step 4: Simplify right side
    365,711.64x = 107,319,113,086.93
  5. Step 5: Solve for x
    x = 107,319,113,086.93/365,711.64
  6. Step 6: Final answer
    x = 293,452.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.