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Finding the Fourth Proportional to 601,074.28, 829,483.91 and 329,159.98

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Solution

The fourth proportional to 601,074.28, 829,483.91 and 329,159.98 is: 454,241.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,074.28 : 829,483.91 = 329,159.98 : x
  2. Step 2: Convert to fraction form
    601,074.28/829,483.91 = 329,159.98/x
  3. Step 3: Cross multiply
    601,074.28x = 829,483.91 × 329,159.98
  4. Step 4: Simplify right side
    601,074.28x = 273,032,907,225.92
  5. Step 5: Solve for x
    x = 273,032,907,225.92/601,074.28
  6. Step 6: Final answer
    x = 454,241.54

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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.