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Finding the Fourth Proportional to 393,257.76, 588,968.10 and 361,502.52

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Solution

The fourth proportional to 393,257.76, 588,968.10 and 361,502.52 is: 541,409.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,257.76 : 588,968.10 = 361,502.52 : x
  2. Step 2: Convert to fraction form
    393,257.76/588,968.10 = 361,502.52/x
  3. Step 3: Cross multiply
    393,257.76x = 588,968.10 × 361,502.52
  4. Step 4: Simplify right side
    393,257.76x = 212,913,452,349.61
  5. Step 5: Solve for x
    x = 212,913,452,349.61/393,257.76
  6. Step 6: Final answer
    x = 541,409.41

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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.