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Finding the Fourth Proportional to 432,080.20, 648,314.70 and 151,798.60

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Solution

The fourth proportional to 432,080.20, 648,314.70 and 151,798.60 is: 227,766.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,080.20 : 648,314.70 = 151,798.60 : x
  2. Step 2: Convert to fraction form
    432,080.20/648,314.70 = 151,798.60/x
  3. Step 3: Cross multiply
    432,080.20x = 648,314.70 × 151,798.60
  4. Step 4: Simplify right side
    432,080.20x = 98,413,263,819.42
  5. Step 5: Solve for x
    x = 98,413,263,819.42/432,080.20
  6. Step 6: Final answer
    x = 227,766.20

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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.