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Finding the Fourth Proportional to 355,052.72, 532,583.64 and 198,278.48

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Solution

The fourth proportional to 355,052.72, 532,583.64 and 198,278.48 is: 297,420.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,052.72 : 532,583.64 = 198,278.48 : x
  2. Step 2: Convert to fraction form
    355,052.72/532,583.64 = 198,278.48/x
  3. Step 3: Cross multiply
    355,052.72x = 532,583.64 × 198,278.48
  4. Step 4: Simplify right side
    355,052.72x = 105,599,874,612.07
  5. Step 5: Solve for x
    x = 105,599,874,612.07/355,052.72
  6. Step 6: Final answer
    x = 297,420.27

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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.