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Finding the Fourth Proportional to 564,350.69, 846,605.46 and 165,021.50

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Solution

The fourth proportional to 564,350.69, 846,605.46 and 165,021.50 is: 247,555.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,350.69 : 846,605.46 = 165,021.50 : x
  2. Step 2: Convert to fraction form
    564,350.69/846,605.46 = 165,021.50/x
  3. Step 3: Cross multiply
    564,350.69x = 846,605.46 × 165,021.50
  4. Step 4: Simplify right side
    564,350.69x = 139,708,102,917.39
  5. Step 5: Solve for x
    x = 139,708,102,917.39/564,350.69
  6. Step 6: Final answer
    x = 247,555.47

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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.