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Finding the Fourth Proportional to 517,820.64, 776,369.97 and 229,475.27

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Solution

The fourth proportional to 517,820.64, 776,369.97 and 229,475.27 is: 344,052.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,820.64 : 776,369.97 = 229,475.27 : x
  2. Step 2: Convert to fraction form
    517,820.64/776,369.97 = 229,475.27/x
  3. Step 3: Cross multiply
    517,820.64x = 776,369.97 × 229,475.27
  4. Step 4: Simplify right side
    517,820.64x = 178,157,704,603.79
  5. Step 5: Solve for x
    x = 178,157,704,603.79/517,820.64
  6. Step 6: Final answer
    x = 344,052.92

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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.