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Finding the Fourth Proportional to 296,141.40, 444,430.80 and 196,268.40

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Solution

The fourth proportional to 296,141.40, 444,430.80 and 196,268.40 is: 294,547.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,141.40 : 444,430.80 = 196,268.40 : x
  2. Step 2: Convert to fraction form
    296,141.40/444,430.80 = 196,268.40/x
  3. Step 3: Cross multiply
    296,141.40x = 444,430.80 × 196,268.40
  4. Step 4: Simplify right side
    296,141.40x = 87,227,722,026.72
  5. Step 5: Solve for x
    x = 87,227,722,026.72/296,141.40
  6. Step 6: Final answer
    x = 294,547.54

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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.