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Finding the Fourth Proportional to 517,039.67, 775,569.22 and 162,045.83

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Solution

The fourth proportional to 517,039.67, 775,569.22 and 162,045.83 is: 243,071.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,039.67 : 775,569.22 = 162,045.83 : x
  2. Step 2: Convert to fraction form
    517,039.67/775,569.22 = 162,045.83/x
  3. Step 3: Cross multiply
    517,039.67x = 775,569.22 × 162,045.83
  4. Step 4: Simplify right side
    517,039.67x = 125,677,757,977.35
  5. Step 5: Solve for x
    x = 125,677,757,977.35/517,039.67
  6. Step 6: Final answer
    x = 243,071.79

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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.