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Finding the Fourth Proportional to 600,732.72, 900,984.23 and 180,008.60

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Solution

The fourth proportional to 600,732.72, 900,984.23 and 180,008.60 is: 269,978.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    600,732.72 : 900,984.23 = 180,008.60 : x
  2. Step 2: Convert to fraction form
    600,732.72/900,984.23 = 180,008.60/x
  3. Step 3: Cross multiply
    600,732.72x = 900,984.23 × 180,008.60
  4. Step 4: Simplify right side
    600,732.72x = 162,184,904,459.41
  5. Step 5: Solve for x
    x = 162,184,904,459.41/600,732.72
  6. Step 6: Final answer
    x = 269,978.48

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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.