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Finding the Fourth Proportional to 313,012.01, 431,956.61 and 177,043.04

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Solution

The fourth proportional to 313,012.01, 431,956.61 and 177,043.04 is: 244,319.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,012.01 : 431,956.61 = 177,043.04 : x
  2. Step 2: Convert to fraction form
    313,012.01/431,956.61 = 177,043.04/x
  3. Step 3: Cross multiply
    313,012.01x = 431,956.61 × 177,043.04
  4. Step 4: Simplify right side
    313,012.01x = 76,474,908,337.50
  5. Step 5: Solve for x
    x = 76,474,908,337.50/313,012.01
  6. Step 6: Final answer
    x = 244,319.40

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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.