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Finding the Fourth Proportional to 585,825.52, 808,474.08 and 331,200.40

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Solution

The fourth proportional to 585,825.52, 808,474.08 and 331,200.40 is: 457,076.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,825.52 : 808,474.08 = 331,200.40 : x
  2. Step 2: Convert to fraction form
    585,825.52/808,474.08 = 331,200.40/x
  3. Step 3: Cross multiply
    585,825.52x = 808,474.08 × 331,200.40
  4. Step 4: Simplify right side
    585,825.52x = 267,766,938,685.63
  5. Step 5: Solve for x
    x = 267,766,938,685.63/585,825.52
  6. Step 6: Final answer
    x = 457,076.26

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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.