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Finding the Fourth Proportional to 601,200, 829,682.08 and 332,928

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Solution

The fourth proportional to 601,200, 829,682.08 and 332,928 is: 459,455.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,200 : 829,682.08 = 332,928 : x
  2. Step 2: Convert to fraction form
    601,200/829,682.08 = 332,928/x
  3. Step 3: Cross multiply
    601,200x = 829,682.08 × 332,928
  4. Step 4: Simplify right side
    601,200x = 276,224,395,530.24
  5. Step 5: Solve for x
    x = 276,224,395,530.24/601,200
  6. Step 6: Final answer
    x = 459,455.08

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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.