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Finding the Fourth Proportional to 458,846.32, 688,367.86 and 192,453.28

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Solution

The fourth proportional to 458,846.32, 688,367.86 and 192,453.28 is: 288,721.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,846.32 : 688,367.86 = 192,453.28 : x
  2. Step 2: Convert to fraction form
    458,846.32/688,367.86 = 192,453.28/x
  3. Step 3: Cross multiply
    458,846.32x = 688,367.86 × 192,453.28
  4. Step 4: Simplify right side
    458,846.32x = 132,478,652,503.58
  5. Step 5: Solve for x
    x = 132,478,652,503.58/458,846.32
  6. Step 6: Final answer
    x = 288,721.18

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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.