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Finding the Fourth Proportional to 601,224.23, 829,690.25 and 325,582.57

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Solution

The fourth proportional to 601,224.23, 829,690.25 and 325,582.57 is: 449,304.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,224.23 : 829,690.25 = 325,582.57 : x
  2. Step 2: Convert to fraction form
    601,224.23/829,690.25 = 325,582.57/x
  3. Step 3: Cross multiply
    601,224.23x = 829,690.25 × 325,582.57
  4. Step 4: Simplify right side
    601,224.23x = 270,132,683,898.94
  5. Step 5: Solve for x
    x = 270,132,683,898.94/601,224.23
  6. Step 6: Final answer
    x = 449,304.39

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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.