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Finding the Fourth Proportional to 393,856.40, 590,784.60 and 194,272.40

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Solution

The fourth proportional to 393,856.40, 590,784.60 and 194,272.40 is: 291,408.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,856.40 : 590,784.60 = 194,272.40 : x
  2. Step 2: Convert to fraction form
    393,856.40/590,784.60 = 194,272.40/x
  3. Step 3: Cross multiply
    393,856.40x = 590,784.60 × 194,272.40
  4. Step 4: Simplify right side
    393,856.40x = 114,773,142,125.04
  5. Step 5: Solve for x
    x = 114,773,142,125.04/393,856.40
  6. Step 6: Final answer
    x = 291,408.60

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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.