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Finding the Fourth Proportional to 600,903.36, 829,288.80 and 332,648.64

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Solution

The fourth proportional to 600,903.36, 829,288.80 and 332,648.64 is: 459,078.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    600,903.36 : 829,288.80 = 332,648.64 : x
  2. Step 2: Convert to fraction form
    600,903.36/829,288.80 = 332,648.64/x
  3. Step 3: Cross multiply
    600,903.36x = 829,288.80 × 332,648.64
  4. Step 4: Simplify right side
    600,903.36x = 275,861,791,487.23
  5. Step 5: Solve for x
    x = 275,861,791,487.23/600,903.36
  6. Step 6: Final answer
    x = 459,078.46

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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.