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Finding the Fourth Proportional to 383,846.40, 575,769.60 and 184,132.80

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Solution

The fourth proportional to 383,846.40, 575,769.60 and 184,132.80 is: 276,199.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,846.40 : 575,769.60 = 184,132.80 : x
  2. Step 2: Convert to fraction form
    383,846.40/575,769.60 = 184,132.80/x
  3. Step 3: Cross multiply
    383,846.40x = 575,769.60 × 184,132.80
  4. Step 4: Simplify right side
    383,846.40x = 106,018,068,602.88
  5. Step 5: Solve for x
    x = 106,018,068,602.88/383,846.40
  6. Step 6: Final answer
    x = 276,199.20

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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.