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Finding the Fourth Proportional to 597,654.72, 896,742.72 and 198,348.48

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Solution

The fourth proportional to 597,654.72, 896,742.72 and 198,348.48 is: 297,609.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,654.72 : 896,742.72 = 198,348.48 : x
  2. Step 2: Convert to fraction form
    597,654.72/896,742.72 = 198,348.48/x
  3. Step 3: Cross multiply
    597,654.72x = 896,742.72 × 198,348.48
  4. Step 4: Simplify right side
    597,654.72x = 177,867,555,463.07
  5. Step 5: Solve for x
    x = 177,867,555,463.07/597,654.72
  6. Step 6: Final answer
    x = 297,609.22

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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.