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Finding the Fourth Proportional to 585,921.94, 808,594.05 and 331,257.94

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Solution

The fourth proportional to 585,921.94, 808,594.05 and 331,257.94 is: 457,148.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,921.94 : 808,594.05 = 331,257.94 : x
  2. Step 2: Convert to fraction form
    585,921.94/808,594.05 = 331,257.94/x
  3. Step 3: Cross multiply
    585,921.94x = 808,594.05 × 331,257.94
  4. Step 4: Simplify right side
    585,921.94x = 267,853,199,299.26
  5. Step 5: Solve for x
    x = 267,853,199,299.26/585,921.94
  6. Step 6: Final answer
    x = 457,148.27

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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.