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Finding the Fourth Proportional to 432,281.80, 648,806.70 and 254,566.60

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Solution

The fourth proportional to 432,281.80, 648,806.70 and 254,566.60 is: 382,076.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,281.80 : 648,806.70 = 254,566.60 : x
  2. Step 2: Convert to fraction form
    432,281.80/648,806.70 = 254,566.60/x
  3. Step 3: Cross multiply
    432,281.80x = 648,806.70 × 254,566.60
  4. Step 4: Simplify right side
    432,281.80x = 165,164,515,676.22
  5. Step 5: Solve for x
    x = 165,164,515,676.22/432,281.80
  6. Step 6: Final answer
    x = 382,076.03

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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.