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Finding the Fourth Proportional to 432,846.60, 648,962.70 and 166,504.20

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Solution

The fourth proportional to 432,846.60, 648,962.70 and 166,504.20 is: 249,638.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,846.60 : 648,962.70 = 166,504.20 : x
  2. Step 2: Convert to fraction form
    432,846.60/648,962.70 = 166,504.20/x
  3. Step 3: Cross multiply
    432,846.60x = 648,962.70 × 166,504.20
  4. Step 4: Simplify right side
    432,846.60x = 108,055,015,193.34
  5. Step 5: Solve for x
    x = 108,055,015,193.34/432,846.60
  6. Step 6: Final answer
    x = 249,638.13

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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.