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Finding the Fourth Proportional to 292,392.87, 438,236.10 and 142,408.41

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Solution

The fourth proportional to 292,392.87, 438,236.10 and 142,408.41 is: 213,440.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,392.87 : 438,236.10 = 142,408.41 : x
  2. Step 2: Convert to fraction form
    292,392.87/438,236.10 = 142,408.41/x
  3. Step 3: Cross multiply
    292,392.87x = 438,236.10 × 142,408.41
  4. Step 4: Simplify right side
    292,392.87x = 62,408,506,205.60
  5. Step 5: Solve for x
    x = 62,408,506,205.60/292,392.87
  6. Step 6: Final answer
    x = 213,440.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.