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Finding the Fourth Proportional to 601,546.38, 830,134.20 and 329,612.06

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Solution

The fourth proportional to 601,546.38, 830,134.20 and 329,612.06 is: 454,864.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,546.38 : 830,134.20 = 329,612.06 : x
  2. Step 2: Convert to fraction form
    601,546.38/830,134.20 = 329,612.06/x
  3. Step 3: Cross multiply
    601,546.38x = 830,134.20 × 329,612.06
  4. Step 4: Simplify right side
    601,546.38x = 273,622,243,738.45
  5. Step 5: Solve for x
    x = 273,622,243,738.45/601,546.38
  6. Step 6: Final answer
    x = 454,864.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.