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Finding the Fourth Proportional to 227,527.80, 341,947.80 and 198,659.40

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Solution

The fourth proportional to 227,527.80, 341,947.80 and 198,659.40 is: 298,561.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,527.80 : 341,947.80 = 198,659.40 : x
  2. Step 2: Convert to fraction form
    227,527.80/341,947.80 = 198,659.40/x
  3. Step 3: Cross multiply
    227,527.80x = 341,947.80 × 198,659.40
  4. Step 4: Simplify right side
    227,527.80x = 67,931,144,779.32
  5. Step 5: Solve for x
    x = 67,931,144,779.32/227,527.80
  6. Step 6: Final answer
    x = 298,561.95

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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.