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Finding the Fourth Proportional to 517,754.22, 776,684.32 and 198,174.58

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Solution

The fourth proportional to 517,754.22, 776,684.32 and 198,174.58 is: 297,282.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,754.22 : 776,684.32 = 198,174.58 : x
  2. Step 2: Convert to fraction form
    517,754.22/776,684.32 = 198,174.58/x
  3. Step 3: Cross multiply
    517,754.22x = 776,684.32 × 198,174.58
  4. Step 4: Simplify right side
    517,754.22x = 153,919,088,908.59
  5. Step 5: Solve for x
    x = 153,919,088,908.59/517,754.22
  6. Step 6: Final answer
    x = 297,282.15

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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.