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Finding the Fourth Proportional to 307,728.60, 461,333.70 and 159,984.60

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Solution

The fourth proportional to 307,728.60, 461,333.70 and 159,984.60 is: 239,842.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,728.60 : 461,333.70 = 159,984.60 : x
  2. Step 2: Convert to fraction form
    307,728.60/461,333.70 = 159,984.60/x
  3. Step 3: Cross multiply
    307,728.60x = 461,333.70 × 159,984.60
  4. Step 4: Simplify right side
    307,728.60x = 73,806,287,461.02
  5. Step 5: Solve for x
    x = 73,806,287,461.02/307,728.60
  6. Step 6: Final answer
    x = 239,842.14

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1.5x scale

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.