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Finding the Fourth Proportional to 483,432, 724,629.60 and 233,563.20

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Solution

The fourth proportional to 483,432, 724,629.60 and 233,563.20 is: 350,094.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    483,432 : 724,629.60 = 233,563.20 : x
  2. Step 2: Convert to fraction form
    483,432/724,629.60 = 233,563.20/x
  3. Step 3: Cross multiply
    483,432x = 724,629.60 × 233,563.20
  4. Step 4: Simplify right side
    483,432x = 169,246,808,190.72
  5. Step 5: Solve for x
    x = 169,246,808,190.72/483,432
  6. Step 6: Final answer
    x = 350,094.34

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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.