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Finding the Fourth Proportional to 565,984.52, 781,497.04 and 434,954.62

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Solution

The fourth proportional to 565,984.52, 781,497.04 and 434,954.62 is: 600,574.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,984.52 : 781,497.04 = 434,954.62 : x
  2. Step 2: Convert to fraction form
    565,984.52/781,497.04 = 434,954.62/x
  3. Step 3: Cross multiply
    565,984.52x = 781,497.04 × 434,954.62
  4. Step 4: Simplify right side
    565,984.52x = 339,915,745,023.20
  5. Step 5: Solve for x
    x = 339,915,745,023.20/565,984.52
  6. Step 6: Final answer
    x = 600,574.28

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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.