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Finding the Fourth Proportional to 432,876.39, 597,451.59 and 285,441.75

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Solution

The fourth proportional to 432,876.39, 597,451.59 and 285,441.75 is: 393,963.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,876.39 : 597,451.59 = 285,441.75 : x
  2. Step 2: Convert to fraction form
    432,876.39/597,451.59 = 285,441.75/x
  3. Step 3: Cross multiply
    432,876.39x = 597,451.59 × 285,441.75
  4. Step 4: Simplify right side
    432,876.39x = 170,537,627,389.88
  5. Step 5: Solve for x
    x = 170,537,627,389.88/432,876.39
  6. Step 6: Final answer
    x = 393,963.80

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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.