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Finding the Fourth Proportional to 297,641.56, 410,853.18 and 197,071.96

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Solution

The fourth proportional to 297,641.56, 410,853.18 and 197,071.96 is: 272,030.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,641.56 : 410,853.18 = 197,071.96 : x
  2. Step 2: Convert to fraction form
    297,641.56/410,853.18 = 197,071.96/x
  3. Step 3: Cross multiply
    297,641.56x = 410,853.18 × 197,071.96
  4. Step 4: Simplify right side
    297,641.56x = 80,967,641,454.83
  5. Step 5: Solve for x
    x = 80,967,641,454.83/297,641.56
  6. Step 6: Final answer
    x = 272,030.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.