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Finding the Fourth Proportional to 393,956.38, 590,848.17 and 113,412.70

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Solution

The fourth proportional to 393,956.38, 590,848.17 and 113,412.70 is: 170,094.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,956.38 : 590,848.17 = 113,412.70 : x
  2. Step 2: Convert to fraction form
    393,956.38/590,848.17 = 113,412.70/x
  3. Step 3: Cross multiply
    393,956.38x = 590,848.17 × 113,412.70
  4. Step 4: Simplify right side
    393,956.38x = 67,009,686,249.76
  5. Step 5: Solve for x
    x = 67,009,686,249.76/393,956.38
  6. Step 6: Final answer
    x = 170,094.18

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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.