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Finding the Fourth Proportional to 289,107.20, 433,660.80 and 184,001.60

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Solution

The fourth proportional to 289,107.20, 433,660.80 and 184,001.60 is: 276,002.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,107.20 : 433,660.80 = 184,001.60 : x
  2. Step 2: Convert to fraction form
    289,107.20/433,660.80 = 184,001.60/x
  3. Step 3: Cross multiply
    289,107.20x = 433,660.80 × 184,001.60
  4. Step 4: Simplify right side
    289,107.20x = 79,794,281,057.28
  5. Step 5: Solve for x
    x = 79,794,281,057.28/289,107.20
  6. Step 6: Final answer
    x = 276,002.40

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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.