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Finding the Fourth Proportional to 289,415.20, 434,122.80 and 184,309.60

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Solution

The fourth proportional to 289,415.20, 434,122.80 and 184,309.60 is: 276,464.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,415.20 : 434,122.80 = 184,309.60 : x
  2. Step 2: Convert to fraction form
    289,415.20/434,122.80 = 184,309.60/x
  3. Step 3: Cross multiply
    289,415.20x = 434,122.80 × 184,309.60
  4. Step 4: Simplify right side
    289,415.20x = 80,012,999,618.88
  5. Step 5: Solve for x
    x = 80,012,999,618.88/289,415.20
  6. Step 6: Final answer
    x = 276,464.40

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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.