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Finding the Fourth Proportional to 477,161, 715,745.82 and 144,737

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Solution

The fourth proportional to 477,161, 715,745.82 and 144,737 is: 217,106.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,161 : 715,745.82 = 144,737 : x
  2. Step 2: Convert to fraction form
    477,161/715,745.82 = 144,737/x
  3. Step 3: Cross multiply
    477,161x = 715,745.82 × 144,737
  4. Step 4: Simplify right side
    477,161x = 103,594,902,749.34
  5. Step 5: Solve for x
    x = 103,594,902,749.34/477,161
  6. Step 6: Final answer
    x = 217,106.81

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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.