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Finding the Fourth Proportional to 243,086.40, 364,046.40 and 196,430.40

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Solution

The fourth proportional to 243,086.40, 364,046.40 and 196,430.40 is: 294,174.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,086.40 : 364,046.40 = 196,430.40 : x
  2. Step 2: Convert to fraction form
    243,086.40/364,046.40 = 196,430.40/x
  3. Step 3: Cross multiply
    243,086.40x = 364,046.40 × 196,430.40
  4. Step 4: Simplify right side
    243,086.40x = 71,509,779,970.56
  5. Step 5: Solve for x
    x = 71,509,779,970.56/243,086.40
  6. Step 6: Final answer
    x = 294,174.33

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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.