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Finding the Fourth Proportional to 517,428.38, 776,142.77 and 232,786.52

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Solution

The fourth proportional to 517,428.38, 776,142.77 and 232,786.52 is: 349,179.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,428.38 : 776,142.77 = 232,786.52 : x
  2. Step 2: Convert to fraction form
    517,428.38/776,142.77 = 232,786.52/x
  3. Step 3: Cross multiply
    517,428.38x = 776,142.77 × 232,786.52
  4. Step 4: Simplify right side
    517,428.38x = 180,675,574,451.46
  5. Step 5: Solve for x
    x = 180,675,574,451.46/517,428.38
  6. Step 6: Final answer
    x = 349,179.87

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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.