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Finding the Fourth Proportional to 432,043.76, 648,063.84 and 116,532.56

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Solution

The fourth proportional to 432,043.76, 648,063.84 and 116,532.56 is: 174,798.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,043.76 : 648,063.84 = 116,532.56 : x
  2. Step 2: Convert to fraction form
    432,043.76/648,063.84 = 116,532.56/x
  3. Step 3: Cross multiply
    432,043.76x = 648,063.84 × 116,532.56
  4. Step 4: Simplify right side
    432,043.76x = 75,520,538,318.63
  5. Step 5: Solve for x
    x = 75,520,538,318.63/432,043.76
  6. Step 6: Final answer
    x = 174,798.35

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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.