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Finding the Fourth Proportional to 429,585.96, 592,812.12 and 238,611.52

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Solution

The fourth proportional to 429,585.96, 592,812.12 and 238,611.52 is: 329,274.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,585.96 : 592,812.12 = 238,611.52 : x
  2. Step 2: Convert to fraction form
    429,585.96/592,812.12 = 238,611.52/x
  3. Step 3: Cross multiply
    429,585.96x = 592,812.12 × 238,611.52
  4. Step 4: Simplify right side
    429,585.96x = 141,451,801,027.62
  5. Step 5: Solve for x
    x = 141,451,801,027.62/429,585.96
  6. Step 6: Final answer
    x = 329,274.73

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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.