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Finding the Fourth Proportional to 600,768, 829,062.27 and 332,496

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Solution

The fourth proportional to 600,768, 829,062.27 and 332,496 is: 458,845.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    600,768 : 829,062.27 = 332,496 : x
  2. Step 2: Convert to fraction form
    600,768/829,062.27 = 332,496/x
  3. Step 3: Cross multiply
    600,768x = 829,062.27 × 332,496
  4. Step 4: Simplify right side
    600,768x = 275,659,888,525.92
  5. Step 5: Solve for x
    x = 275,659,888,525.92/600,768
  6. Step 6: Final answer
    x = 458,845.82

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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.