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Finding the Fourth Proportional to 599,584, 899,354.50 and 150,308.56

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Solution

The fourth proportional to 599,584, 899,354.50 and 150,308.56 is: 225,457.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    599,584 : 899,354.50 = 150,308.56 : x
  2. Step 2: Convert to fraction form
    599,584/899,354.50 = 150,308.56/x
  3. Step 3: Cross multiply
    599,584x = 899,354.50 × 150,308.56
  4. Step 4: Simplify right side
    599,584x = 135,180,679,824.52
  5. Step 5: Solve for x
    x = 135,180,679,824.52/599,584
  6. Step 6: Final answer
    x = 225,457.45

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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.