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Finding the Fourth Proportional to 291,276.40, 437,084.40 and 122,786.40

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Solution

The fourth proportional to 291,276.40, 437,084.40 and 122,786.40 is: 184,251.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,276.40 : 437,084.40 = 122,786.40 : x
  2. Step 2: Convert to fraction form
    291,276.40/437,084.40 = 122,786.40/x
  3. Step 3: Cross multiply
    291,276.40x = 437,084.40 × 122,786.40
  4. Step 4: Simplify right side
    291,276.40x = 53,668,019,972.16
  5. Step 5: Solve for x
    x = 53,668,019,972.16/291,276.40
  6. Step 6: Final answer
    x = 184,251.18

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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.